Finding the Third Proportional to 424,746 and 642,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   424,746 : 642,559.50 = 642,559.50 : x
2. Step 2: Convert to fraction form
   424,746/642,559.50 = 642,559.50/x
3. Step 3: Cross multiply
   424,746x = 642,559.50 × 642,559.50
4. Step 4: Simplify right side
   424,746x = 412,882,711,040.25
5. Step 5: Solve for x
   x = 412,882,711,040.25/424,746
6. Step 6: Final answer
   x = 972,069.69