Finding the Third Proportional to 53,236.50 and 82,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,236.50 : 82,417.50 = 82,417.50 : x
2. Step 2: Convert to fraction form
   53,236.50/82,417.50 = 82,417.50/x
3. Step 3: Cross multiply
   53,236.50x = 82,417.50 × 82,417.50
4. Step 4: Simplify right side
   53,236.50x = 6,792,644,306.25
5. Step 5: Solve for x
   x = 6,792,644,306.25/53,236.50
6. Step 6: Final answer
   x = 127,593.74