Finding the Third Proportional to 447,421.50 and 677,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   447,421.50 : 677,641.50 = 677,641.50 : x
2. Step 2: Convert to fraction form
   447,421.50/677,641.50 = 677,641.50/x
3. Step 3: Cross multiply
   447,421.50x = 677,641.50 × 677,641.50
4. Step 4: Simplify right side
   447,421.50x = 459,198,002,522.25
5. Step 5: Solve for x
   x = 459,198,002,522.25/447,421.50
6. Step 6: Final answer
   x = 1,026,320.82