Finding the Third Proportional to 52,049.50 and 115,745

Step by Step Solution

1. Step 1: Write the proportion equation
   52,049.50 : 115,745 = 115,745 : x
2. Step 2: Convert to fraction form
   52,049.50/115,745 = 115,745/x
3. Step 3: Cross multiply
   52,049.50x = 115,745 × 115,745
4. Step 4: Simplify right side
   52,049.50x = 13,396,905,025
5. Step 5: Solve for x
   x = 13,396,905,025/52,049.50
6. Step 6: Final answer
   x = 257,387.78