All Seeing Eye
Admiral
The Prometheus doesn't look larger at all. Not to my eyes.But the galaxy is bigger, a lot bigger. Galaxy Class was 5,820,983 cubic meters and the Prometheus was only 769,670 cubic feet.
Online figures arn't canon and are made up, it's clear to see the Prometheus is larger and far more bulky than a Galaxy.
The Prommie saucer alone is as big as a Galaxy class ship.
When comparing you've got to look at certain features such as windows, deflector dish, nacelles etc, when you put pictures side by side it's clear the Prometheus is larger because the Prommie Saucer is slightly larger but also more importantly it's far thicker and then the engineering hull is more bulky than the Galaxy and instead of 2 nacelles there is four.
It's easy to see the size difference.
Galaxy / Galaxy 2
Prometheus / Prometheus 2