Finding the Third Proportional to 329,049 and 496,002

Step by Step Solution

1. Step 1: Write the proportion equation
   329,049 : 496,002 = 496,002 : x
2. Step 2: Convert to fraction form
   329,049/496,002 = 496,002/x
3. Step 3: Cross multiply
   329,049x = 496,002 × 496,002
4. Step 4: Simplify right side
   329,049x = 246,017,984,004
5. Step 5: Solve for x
   x = 246,017,984,004/329,049
6. Step 6: Final answer
   x = 747,663.67