Finding the Third Proportional to 257,499 and 384,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,499 : 384,787.50 = 384,787.50 : x
2. Step 2: Convert to fraction form
   257,499/384,787.50 = 384,787.50/x
3. Step 3: Cross multiply
   257,499x = 384,787.50 × 384,787.50
4. Step 4: Simplify right side
   257,499x = 148,061,420,156.25
5. Step 5: Solve for x
   x = 148,061,420,156.25/257,499
6. Step 6: Final answer
   x = 574,998.04