There is no prophecy in the Bible about a 3rd Temple except for the one Christ Jesus foretold.

Matthew 26:61
And said, This fellow said, I am able to destroy the temple of God, and to build it in three days.

John 2:19
Jesus answered and said unto them, Destroy this temple, and in three days I will raise it up.

Jesus resurrected from the grave in 3 days, completing the 3rd Temple.