Finding the Third Proportional to 329,076 and 497,662

Step by Step Solution

1. Step 1: Write the proportion equation
   329,076 : 497,662 = 497,662 : x
2. Step 2: Convert to fraction form
   329,076/497,662 = 497,662/x
3. Step 3: Cross multiply
   329,076x = 497,662 × 497,662
4. Step 4: Simplify right side
   329,076x = 247,667,466,244
5. Step 5: Solve for x
   x = 247,667,466,244/329,076
6. Step 6: Final answer
   x = 752,614.79