If you think that's bad, try one of their AC-9 power cords! Even with a fancy-pants Oyaide power outlet it still sags. I've thought of turning the outlet around so the hole for the ground pin is on top, perhaps that would allow the power cable to stay in better, I haven't tried it yet though due to laziness. That might be something to consider with your outlet, of course ONLY if you're comfortable dealing with the power outlet and know what you're doing. It's pretty easy.
It's ironic because Pangea claims their power cords are lighter and more flexible than other audiophile power cords, but they're not, especially the AC-9, so I just left mine plugged into the back of my amp, and the male end is plugged into a PS Audio Juice Bar II, so it's standing straight up and there's no sagging issue. Maybe another solution for you: get a power strip that will allow you to plug the power cord straight down, in other words, the actual outlets on the strip would be facing the ceiling.
Other than that, like Gary said, put some kind of support under it, that should work. Despite these annoyances the Pangea power cords are actually a good value IMO, downright cheap compared to other similar offerings by different companies. And you did get a really good deal.