Finding the Third Proportional to 52,342.50 and 116,295

Step by Step Solution

1. Step 1: Write the proportion equation
   52,342.50 : 116,295 = 116,295 : x
2. Step 2: Convert to fraction form
   52,342.50/116,295 = 116,295/x
3. Step 3: Cross multiply
   52,342.50x = 116,295 × 116,295
4. Step 4: Simplify right side
   52,342.50x = 13,524,527,025
5. Step 5: Solve for x
   x = 13,524,527,025/52,342.50
6. Step 6: Final answer
   x = 258,385.19