Finding the Third Proportional to 414,472 and 619,142

Step by Step Solution

1. Step 1: Write the proportion equation
   414,472 : 619,142 = 619,142 : x
2. Step 2: Convert to fraction form
   414,472/619,142 = 619,142/x
3. Step 3: Cross multiply
   414,472x = 619,142 × 619,142
4. Step 4: Simplify right side
   414,472x = 383,336,816,164
5. Step 5: Solve for x
   x = 383,336,816,164/414,472
6. Step 6: Final answer
   x = 924,879.89