Finding the Third Proportional to 257,704.50 and 392,025

Step by Step Solution

1. Step 1: Write the proportion equation
   257,704.50 : 392,025 = 392,025 : x
2. Step 2: Convert to fraction form
   257,704.50/392,025 = 392,025/x
3. Step 3: Cross multiply
   257,704.50x = 392,025 × 392,025
4. Step 4: Simplify right side
   257,704.50x = 153,683,600,625
5. Step 5: Solve for x
   x = 153,683,600,625/257,704.50
6. Step 6: Final answer
   x = 596,355.91