Finding the Third Proportional to 329,328 and 684,494

Step by Step Solution

1. Step 1: Write the proportion equation
   329,328 : 684,494 = 684,494 : x
2. Step 2: Convert to fraction form
   329,328/684,494 = 684,494/x
3. Step 3: Cross multiply
   329,328x = 684,494 × 684,494
4. Step 4: Simplify right side
   329,328x = 468,532,036,036
5. Step 5: Solve for x
   x = 468,532,036,036/329,328
6. Step 6: Final answer
   x = 1,422,691.17