Finding the Third Proportional to 329,472 and 723,096

Step by Step Solution

1. Step 1: Write the proportion equation
   329,472 : 723,096 = 723,096 : x
2. Step 2: Convert to fraction form
   329,472/723,096 = 723,096/x
3. Step 3: Cross multiply
   329,472x = 723,096 × 723,096
4. Step 4: Simplify right side
   329,472x = 522,867,825,216
5. Step 5: Solve for x
   x = 522,867,825,216/329,472
6. Step 6: Final answer
   x = 1,586,987.13