Measuring Energy (Watt-hour) from Microcontroller
No, your calculation is incorrect.

That 1 Watt-hour is 1 Watt (= 1 Joule per second) of energy consumption during 1 hour.

Your device consumes less than 1 Watt so it cannot consume more than 1 Watt hour in one hour.

Your device consumes 61.25 mWatt so that means in one hour it consumes 61.25 mWatt-Hour.

That's 61.25 mW * 3600 seconds = 220.5 Joule

You calculated the amount of Joule consumed, not the amount of WattHour.

One Watt Hour = 1 W * 3600 seconds = 3600 Joule, see the table in the Wikipedia page about KiloWatt Hour (you need to scroll down a bit).

Also you didn't take into account that during the Active time the device isn't consuming 12.25 mA during 100% of the time.

If it is consuming that current only for 10% of the time then the average current is only

10% * 12.25 mA = 1.225 mA.

So it makes a lot of difference what the Duty Cycle of the device is in the active time.