Finding the Third Proportional to 53,589.50 and 116,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,589.50 : 116,402.50 = 116,402.50 : x
2. Step 2: Convert to fraction form
   53,589.50/116,402.50 = 116,402.50/x
3. Step 3: Cross multiply
   53,589.50x = 116,402.50 × 116,402.50
4. Step 4: Simplify right side
   53,589.50x = 13,549,542,006.25
5. Step 5: Solve for x
   x = 13,549,542,006.25/53,589.50
6. Step 6: Final answer
   x = 252,839.49