I need to find a folder nested in a folder.

example:

/Volumes/"4T Virtual Machines"/outerfolder/innerfolder

mac $ pwd
/Volumes/4T Virtual Machines
mac $ ls -lR outerfolder/
total 0
-rw-r--r--  1 mac  staff     0B Aug 28 18:02 file1
-rw-r--r--  1 mac  staff     0B Aug 28 18:02 file2
drwxr-xr-x  5 mac  staff   170B Aug 28 18:04 innerfolder/
drwxr-xr-x  3 mac  staff   102B Aug 28 18:07 otherfolder/

outerfolder//innerfolder:
total 0
-rw-r--r--  1 mac  staff     0B Aug 28 18:04 aaa
-rw-r--r--  1 mac  staff     0B Aug 28 18:04 bbb
-rw-r--r--  1 mac  staff     0B Aug 28 18:04 ccc

outerfolder//otherfolder:
total 0
-rw-r--r--  1 mac  staff     0B Aug 28 18:07 justskip
mac $ 

Let's have two cases the outerfolder is at the root of the external drive and the outerfolder isn't at the root of the external drive. I should be able to modify one solution to the other.

I'm writing in applescript on macOS yosemite or later, but potentially invoking a Unix command from applescript. So the solution may be in all applescript or Unix command called from applescript. The Unix command approach

Here is the Unix command I have for finding the outer folder:

find /Volumes -type d -maxdepth 1 ! -name Volumes -exec find {} -type d -maxdepth 1 -name "Virtual Box" \; 

I tired a third nested find, but errored out

 find /Volumes -type d -maxdepth 1 ! -name Volumes -exec find {} -type d -maxdepth 1 -name "Virtual Box" -exec find {}  -type d -maxdepth 1 ! -name inner  \;
find: -exec: no terminating ";" or "+"
find: -exec: no terminating ";" or "+"
find: -exec: no terminating ";" or "+"
mac RC=1 ?  $