Correct PS for GS108v4?

At my office there is a GS108v4 that was missing its power supply.  I scrounged around at the office and found what I thought was the right power supply for it.  But I haven't plugged it in yet.  In the mean time, I ordered another GS108v4.   The power supply that came with the newly-ordered GS108v4 has different specs than the other Netgear power supply.   Can someone tell me if the power supply that I located in the office is safe to use with the GS108v4?  Here the specs on both of them:

Power supply that came in the box with the newly-ordered GS108v4:

Netgear

AC-DC Adapter

P/N 332-10830-01

Input: 100-240V~50/60Hz 0.15A

Output: 12V  0.5A

Model AD2072F20

Type 007LF

Older power supply that I found at the office:

Netgear

AC-DC Adapter

Part No: PWR-002-004

Input: 120AVC 60Hz 24W

Output: 12VDC 1.2A