Finding the Third Proportional to 53,661 and 116,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,661 : 116,542.50 = 116,542.50 : x
2. Step 2: Convert to fraction form
   53,661/116,542.50 = 116,542.50/x
3. Step 3: Cross multiply
   53,661x = 116,542.50 × 116,542.50
4. Step 4: Simplify right side
   53,661x = 13,582,154,306.25
5. Step 5: Solve for x
   x = 13,582,154,306.25/53,661
6. Step 6: Final answer
   x = 253,110.35