Finding the Third Proportional to 414,417 and 619,068

Step by Step Solution

1. Step 1: Write the proportion equation
   414,417 : 619,068 = 619,068 : x
2. Step 2: Convert to fraction form
   414,417/619,068 = 619,068/x
3. Step 3: Cross multiply
   414,417x = 619,068 × 619,068
4. Step 4: Simplify right side
   414,417x = 383,245,188,624
5. Step 5: Solve for x
   x = 383,245,188,624/414,417
6. Step 6: Final answer
   x = 924,781.53