Finding the Third Proportional to 424,404 and 576,732

Step by Step Solution

1. Step 1: Write the proportion equation
   424,404 : 576,732 = 576,732 : x
2. Step 2: Convert to fraction form
   424,404/576,732 = 576,732/x
3. Step 3: Cross multiply
   424,404x = 576,732 × 576,732
4. Step 4: Simplify right side
   424,404x = 332,619,799,824
5. Step 5: Solve for x
   x = 332,619,799,824/424,404
6. Step 6: Final answer
   x = 783,733.89