Conversation so far:
When was Hulk Hogan's third return to WWE?
At WrestleMania 21 on April 3, Hogan came out to rescue Eugene, who was being attacked by Muhammad Hassan and Khosrow Daivari.
Did he rescue him successfully?
The build-up to Hogan's Hall of Fame induction and preparation for his WrestleMania angle was shown on the first season of Hogan Knows Best.
When was he inducted into the Hall of Fame?
On April 2, 2005, Hogan was inducted into the WWE Hall of Fame class of 2005 by actor and friend Sylvester Stallone.
What is a wrestling match he did after that?
Hassan again led an attack on Michaels until Hogan appeared, saving Michaels and accepting his offer.
What was his offer?
Michaels then made a plea for Hogan to team with him.
What did they do together after that?
Hogan then appeared on July 4 episode of Raw, as the special guest of Carlito on his talk-show segment Carlito's Cabana.
Was that the only time he appeared on Raw?
The following week on Raw, Michaels appeared on Piper's Pit and challenged Hogan to face him one-on-one for the first time.

Question: Who won?
Self-contained rewrite: Who won Raw when Michaels appeared on Piper's Pit and challenged Hogan to face him one-on-one for the first time?