Finding the Third Proportional to 422,914.50 and 647,766

Step by Step Solution

1. Step 1: Write the proportion equation
   422,914.50 : 647,766 = 647,766 : x
2. Step 2: Convert to fraction form
   422,914.50/647,766 = 647,766/x
3. Step 3: Cross multiply
   422,914.50x = 647,766 × 647,766
4. Step 4: Simplify right side
   422,914.50x = 419,600,790,756
5. Step 5: Solve for x
   x = 419,600,790,756/422,914.50
6. Step 6: Final answer
   x = 992,164.59