Finding the Last Digit of the Middle Number

1. Step 1: Modify the numbers
   

   Subtract 3 from the middle digit of each number:

   • 589 → 5(8-3)9 = 559
   • 362 → 3(6-3)2 = 332
   • 554 → 5(5-3)4 = 524
   • 371 → 3(7-3)1 = 341
   • 442 → 4(4-3)2 = 412
2. Step 2: Reverse the digits of the modified numbers
   

   Reverse the order of digits in each modified number:

   • 559 → 955
   • 332 → 233
   • 524 → 425
   • 341 → 143
   • 412 → 214
3. Step 3: Arrange the reversed numbers in descending order
   

   955, 425, 233, 214, 143

4. Step 4: Identify the middle number and its last digit
   

   The middle number in descending order is 233.
   The last digit of 233 is 3.

Answer: The last digit of the middle number after arranging in descending order is 3.