After you leave the asylum, Joey and Rosa automatically go to the school. Madeline is on the roof, so go up the stairs to find her.
Hint 2
Reasoning with Madeline does little good, though. She wants nothing from the universe except to stop being a spirit guide and just move on, one way or another, and doesn't care if she takes millions with her. We need to find something magical/miraculous here to transport her out of the world and into the void, like any other spirit.
Hint 3
Remember how Madeline's totem worked on the spirits she was hunting? She used her tiara, part of her essence, to transport them to a magical circle. Is that any help?
Hint 4
Maybe we can do the same thing with Madeline -- make a circle in the void, then use some of Joey's essence on it to make a totem that will transport her into it. Okay, I know, that's an extreme long shot. But what else are we going to do?
Hint 5
Go back downstairs and look at Michael's body to find a piece of chalk. Take it.
Hint 6
Now have Joey use his tie on Rosa to transport the two of them to the void. Use the chalk to draw a magical circle on the pavement here. If you now use Joey's tie on the circle, the circle will start to glow, and so will Joey's tie.
Hint 7
Joey can now use that glowing tie on Madeline. Save, then go through the portal one last time.