Finding the Third Proportional to 422,911.50 and 647,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   422,911.50 : 647,761.50 = 647,761.50 : x
2. Step 2: Convert to fraction form
   422,911.50/647,761.50 = 647,761.50/x
3. Step 3: Cross multiply
   422,911.50x = 647,761.50 × 647,761.50
4. Step 4: Simplify right side
   422,911.50x = 419,594,960,882.25
5. Step 5: Solve for x
   x = 419,594,960,882.25/422,911.50
6. Step 6: Final answer
   x = 992,157.84