Finding the Third Proportional to 53,581.50 and 116,390.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,581.50 : 116,390.25 = 116,390.25 : x
2. Step 2: Convert to fraction form
   53,581.50/116,390.25 = 116,390.25/x
3. Step 3: Cross multiply
   53,581.50x = 116,390.25 × 116,390.25
4. Step 4: Simplify right side
   53,581.50x = 13,546,690,295.06
5. Step 5: Solve for x
   x = 13,546,690,295.06/53,581.50
6. Step 6: Final answer
   x = 252,824.02