Unfortunately, PP doesn't yet have that eyedropper/numerical readout. You'd have to export a frame grab and bring that into Photoshop.
It would be nice, spectacular really, to have a full sync system in PPro. By that I mean a compact and easy way to sync various video feeds temporally, and with audio, and with color. And with anything else that needs syncing. Right now we are missing pieces (like color) and the pieces we have are scattered around. We need a nice central place to do this -- Prelude maybe? IDK.
As far as color goes, it's high time Adobe gave us a way to color sync to standard charts. It would be nice to be able to step beyond mere custom white balance to a full color balance. Instead of shooting a gray card, why not shoot a Macbeth Colorchecker chart? then have PPro analyze the chart and apply the needed color corrections to "true up" the video feed's colors? This would save a huge amount of time in post, and would therefore be a huge value add.
If Adobe doesn't want to do this, how about a third party plug-in? For that matter, are there any already on the market that do anything like this?
Try matching the RGB parades in the display mode with the color balance filter. That can get you pretty close.