Finding the Third Proportional to 53,527.88 and 116,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,527.88 : 116,593.50 = 116,593.50 : x
2. Step 2: Convert to fraction form
   53,527.88/116,593.50 = 116,593.50/x
3. Step 3: Cross multiply
   53,527.88x = 116,593.50 × 116,593.50
4. Step 4: Simplify right side
   53,527.88x = 13,594,044,242.25
5. Step 5: Solve for x
   x = 13,594,044,242.25/53,527.88
6. Step 6: Final answer
   x = 253,961.96