Finding the Third Proportional to 257,134.50 and 385,452

Step by Step Solution

1. Step 1: Write the proportion equation
   257,134.50 : 385,452 = 385,452 : x
2. Step 2: Convert to fraction form
   257,134.50/385,452 = 385,452/x
3. Step 3: Cross multiply
   257,134.50x = 385,452 × 385,452
4. Step 4: Simplify right side
   257,134.50x = 148,573,244,304
5. Step 5: Solve for x
   x = 148,573,244,304/257,134.50
6. Step 6: Final answer
   x = 577,803.62