Finding the Third Proportional to 414,412 and 619,061

Step by Step Solution

1. Step 1: Write the proportion equation
   414,412 : 619,061 = 619,061 : x
2. Step 2: Convert to fraction form
   414,412/619,061 = 619,061/x
3. Step 3: Cross multiply
   414,412x = 619,061 × 619,061
4. Step 4: Simplify right side
   414,412x = 383,236,521,721
5. Step 5: Solve for x
   x = 383,236,521,721/414,412
6. Step 6: Final answer
   x = 924,771.78