Finding the Third Proportional to 263,637 and 408,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,637 : 408,562.50 = 408,562.50 : x
2. Step 2: Convert to fraction form
   263,637/408,562.50 = 408,562.50/x
3. Step 3: Cross multiply
   263,637x = 408,562.50 × 408,562.50
4. Step 4: Simplify right side
   263,637x = 166,923,316,406.25
5. Step 5: Solve for x
   x = 166,923,316,406.25/263,637
6. Step 6: Final answer
   x = 633,155.88