It was prophesied by Jesus, Paul, and John that the Temple will be rebuilt:-
Jesus:-
Mat 24:15 MKJV Therefore when you see the abomination of desolation, spoken of by Daniel the prophet, stand in the holy place (whoever reads, let him understand).
Paul:-
2Th 2:3-4 MKJV Let not anyone deceive you by any means. For that Day shall not come unless there first comes a falling away, and the man of sin shall be revealed, the son of perdition, (v.4) who opposes and exalts himself above all that is called God, or that is worshiped, so that he sits as God in the temple of God, setting himself forth, that he is God.
John:-
Rev 11:1-2 MKJV And a reed like a rod was given to me. And the angel stood, saying, Rise up and measure the temple of God, and the altar, and those who worship in it. (v.2) But leave out the court which is outside the temple, and do not measure it, for it was given to the nations. And they will trample the holy city forty-two months [ie three and a half years].
The Third Temple will be built on the Temple Mount but it is uncertain exactly where. There are 3 possible locations:-
Traditional View-
Built on the site of the existing "Dome of the Rock"
Northern Conjecture (ie North of Dome of the Rock)-
(As propounded by Dr Asher Kaufman- check internet for furthur details )
Southern ern Conjecture (ie South of Dome of the Rock)-
(Check out internet for furthur details )
It will be on one of those 3 sites but as the exact one is unknown all answers are valid.