Finding the Third Proportional to 414,423 and 619,076

Step by Step Solution

1. Step 1: Write the proportion equation
   414,423 : 619,076 = 619,076 : x
2. Step 2: Convert to fraction form
   414,423/619,076 = 619,076/x
3. Step 3: Cross multiply
   414,423x = 619,076 × 619,076
4. Step 4: Simplify right side
   414,423x = 383,255,093,776
5. Step 5: Solve for x
   x = 383,255,093,776/414,423
6. Step 6: Final answer
   x = 924,792.05