Finding the Third Proportional to 464,499 and 678,825

Step by Step Solution

1. Step 1: Write the proportion equation
   464,499 : 678,825 = 678,825 : x
2. Step 2: Convert to fraction form
   464,499/678,825 = 678,825/x
3. Step 3: Cross multiply
   464,499x = 678,825 × 678,825
4. Step 4: Simplify right side
   464,499x = 460,803,380,625
5. Step 5: Solve for x
   x = 460,803,380,625/464,499
6. Step 6: Final answer
   x = 992,043.86