Bob,
The organization is where your clients connecting to named users (such as the viewers in ArcGIS Online, and ArcGIS Pro, if connected to your ArcGIS Online organization) get their list of basemaps.
This is how the basemaps are populated in clients. Help topic: Configure map viewer—ArcGIS Online Help | ArcGIS
In Pro, you can also just search in portal->All (in the project pane) for "bing" to find the basemaps and add them, if already licensed.
If you need more help, I'd suggest contacting Esri technical support.
Regards,
Jeremy W.