the CMYK values for the blue logo are 79, 56, 2, 0 and when I click on the RGB tab in InDesign or Illustrator, these programs tell me that the RGB equivalent is 69, 112, 179.
69|112|179 is the conversion you'll get using the default North American General Purpose Color Settings—or US Web Coated SWOP v2 converted to sRGB. As Willi implies there are many flavors of CMYK and RGB so different sources and destinations, as well as the conversion intent, will produce different results.
So "branding" color this way doesn't really work because 79|56|2|0 CMYK will look very different on newsprint than it will on a GRAcol profiled press with glossy paper, and 69|112|179 RGB will look very different in a CC app with a ProPhoto RGB assignment then it will look in a web browser with no profile assigned.
The best you can do is qualify the values—79|56|2|0 US Web Coated (SWOP) v2 CMYK = 69|112|179 sRGB IEC6196-2.1 RGB