<SEC-DOCUMENT>0001209191-21-036176.txt : 20210527
<SEC-HEADER>0001209191-21-036176.hdr.sgml : 20210527
<ACCEPTANCE-DATETIME>20210527120735
ACCESSION NUMBER:		0001209191-21-036176
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20210527
FILED AS OF DATE:		20210527
DATE AS OF CHANGE:		20210527

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Mykhaylovskyy Andriy
		CENTRAL INDEX KEY:			0001844118

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-40415
		FILM NUMBER:		21970244

	MAIL ADDRESS:	
		STREET 1:		6060 CENTER DRIVE 10TH FLOOR
		CITY:			LOS ANGELES
		STATE:			CA
		ZIP:			90045

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			Fifth Wall Acquisition Corp. III
		CENTRAL INDEX KEY:			0001847874
		STANDARD INDUSTRIAL CLASSIFICATION:	BLANK CHECKS [6770]
		IRS NUMBER:				981583957
		STATE OF INCORPORATION:			E9
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		MAPLES CORPORATE SERVICES LIMITED
		STREET 2:		PO BOX 309, UGLAND HOUSE
		CITY:			GRAND CAYMAN
		STATE:			E9
		ZIP:			KY1-1004
		BUSINESS PHONE:		310-853-8878

	MAIL ADDRESS:	
		STREET 1:		6060 CENTER DRIVE, FLOOR 10
		CITY:			LOS ANGELES
		STATE:			CA
		ZIP:			90045
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-05-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001847874</issuerCik>
        <issuerName>Fifth Wall Acquisition Corp. III</issuerName>
        <issuerTradingSymbol>FWAC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001844118</rptOwnerCik>
            <rptOwnerName>Mykhaylovskyy Andriy</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FIFTH WALL ACQUISITION CORP. III</rptOwnerStreet1>
            <rptOwnerStreet2>6060 CENTER DRIVE, 10TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90045</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Ordinary Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2021-05-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>907000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>907000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents the purchase of shares of Class A Ordinary Shares of the Issuer by Fifth Wall Acquisition Sponsor III LLC in a private placement in connection with Issuer's initial public offering.</footnote>
        <footnote id="F2">Fifth Wall Acquisition Sponsor III LLC, is the record holder of the shares reported herein. Fifth Wall Acquisition Sponsor III LLC is governed by two managers. Messr. Andriy Mykhaylovskyy and Brendan Wallace have shared voting and investment power over the shares held by Fifth Wall Acquisition Sponsor III LLC, and disclaim beneficial ownership of the shares held by Fifth Wall Acquisition Sponsor III LLC except to the extent of their pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Andriy Mykhaylovskyy</signatureName>
        <signatureDate>2021-05-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
