Finding the Third Proportional to 267,861 and 363,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,861 : 363,787.50 = 363,787.50 : x
2. Step 2: Convert to fraction form
   267,861/363,787.50 = 363,787.50/x
3. Step 3: Cross multiply
   267,861x = 363,787.50 × 363,787.50
4. Step 4: Simplify right side
   267,861x = 132,341,345,156.25
5. Step 5: Solve for x
   x = 132,341,345,156.25/267,861
6. Step 6: Final answer
   x = 494,067.24