I'm sorry, is this thread under the misconception that the X360 outsold the PS3? Because that's wrong.
https://www.vgchartz.com/charts/platform_totals/Hardware.php/
X360 did win in North America, but PS3 had a small lead globally. The PS3 was completely dominant in Japan, and had a sizable lead in Europe.
If it wasn't for the Red Ring of Death, the X360 probably would have won. In many ways, Microsoft's gaming division never recovered from that.