Finding the Third Proportional to 461,583 and 698,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   461,583 : 698,521.50 = 698,521.50 : x
2. Step 2: Convert to fraction form
   461,583/698,521.50 = 698,521.50/x
3. Step 3: Cross multiply
   461,583x = 698,521.50 × 698,521.50
4. Step 4: Simplify right side
   461,583x = 487,932,285,962.25
5. Step 5: Solve for x
   x = 487,932,285,962.25/461,583
6. Step 6: Final answer
   x = 1,057,084.61