Again, the devil took Him to a very high mountain, and showed Him all the kingdoms of the world, and their glory. And he said to Him, "All these things will I give you if you fall down and worship me." - Matthew 4:8-9
The third temptation
Since no mountain stands high enough to view all the world's kingdoms, it's likely that Satan exercised some supernatural power to show Christ "all the kingdoms of the world in a moment of time" (Luke 4:5).
Jesus did not question Satan's authority to grant the world's kingdoms. Bear in mind, however, that Jesus did not directly address Satan's apparent deceptions in the first two temptations. Either Satan possessed this authority, or he was validating his reputation as "the father of lies" (John 8:44).
In either case, Satan's authority was not the issue. His suggestion violated the first commandment, "You shall have no other gods before Me" (Exodus 20:3).
Then Jesus said to him, "Begone, Satan! For it is written, 'You shall worship the Lord your God, and serve Him only. (Matthew 4:10)"
Again, Jesus quoted Moses; this time from Deuteronomy 6:13.
The order of the 2nd and 3rd temptations are inverted in Matthew and Luke. Which account is chronological? Many commentators belive that Matthew's account is chronological, while Luke's is topical.
This opinion is founded on two facts. Matthew 4:5 and 4:11 contain the word "then" when transitioning through this event. Luke connects the temptations with the word "and," which contains no chronological inference.
Jesus' response to the third temptation strengthen this view. The words "Begone, Satan!" likely signal an end to this trial.
Angels minister to Jesus
Then the devil left Him, and behold, angels came and ministered to Him (Matthew 4:11).
When Satan left, angels attended to the needs of Jesus. The next angelic appearance during Christ's ministry occured when He was praying in the Garden of Gethsemane. An angel appeared in the garden to strengthen Him (Luke 22:43).