Finding the Third Proportional to 424,399 and 576,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   424,399 : 576,724.50 = 576,724.50 : x
2. Step 2: Convert to fraction form
   424,399/576,724.50 = 576,724.50/x
3. Step 3: Cross multiply
   424,399x = 576,724.50 × 576,724.50
4. Step 4: Simplify right side
   424,399x = 332,611,148,900.25
5. Step 5: Solve for x
   x = 332,611,148,900.25/424,399
6. Step 6: Final answer
   x = 783,722.74