Finding the Third Proportional to 491,787.50 and 664,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   491,787.50 : 664,399.50 = 664,399.50 : x
2. Step 2: Convert to fraction form
   491,787.50/664,399.50 = 664,399.50/x
3. Step 3: Cross multiply
   491,787.50x = 664,399.50 × 664,399.50
4. Step 4: Simplify right side
   491,787.50x = 441,426,695,600.25
5. Step 5: Solve for x
   x = 441,426,695,600.25/491,787.50
6. Step 6: Final answer
   x = 897,596.41