Friend I congratulate you, really, it takes a lot of courage to do that. The most problematic thing about these situations is not the decision, but what can happen through that decision.
Normally, when someone has a very serious accident, it is dangerous to move them because you do not know if the inner part of the body has severe damage. If you don't move carefully the help can backfire.
In this case, thank God the man's injuries did not get worse when he was taken on the motorcycle and you were able to save him.
Blessings to you.