Peters projection is not accurate or proportional at all. It's merely the exact opposite of Mercator. Instead of distorting around the Poles it distorts around the Equator. It's popular with SJW's who have no knowledge or interest in the history of cartography beyond pretending to be outraged, and maybe self-flagellate a bit about how evil white people are. Because it completely ignores the many, many variants of map prrojections that have been in use since the advent of scientific cartography. Mercator wasn't the standard projection for most of the colonialist/imperialist period of european powers. In fact it started becoming standard once colonial empires started fragmenting and collapsing. So the explanation for why it is the "accepted" world map projection is just so much whiny, erroneous bullshit. Not to mention even reading slightly into why Mercator used that projection you understand "imperialism" and "racism" had absolutely nothing to do with it.
Anyways, there is no way to accurately map the world onto a flat surface.