Use your pad sander and aluminum oxide sandpaper to dull the surface of the porcelain. Brush off the dust.
Spread polyurethane onto the tiles using your paint brush, applying it in a thin, smooth layer. Brush in the one consistent direction over each tile. Don't coat the grout lines between the tiles.
Let the polyurethane dry for 12 hours.
Dull the surface of the polyurethane using extra-fine standard sandpaper, with quick light strokes. Brush off the dust.
Add a second coat of polyurethane. Let it set for 12 hours.
Sand the polyurethane by hand again, de-glossing it. Add a third coat. Let the third coat set for 24 hours before walking on it.