Finding the Third Proportional to 329,496 and 723,144

Step by Step Solution

1. Step 1: Write the proportion equation
   329,496 : 723,144 = 723,144 : x
2. Step 2: Convert to fraction form
   329,496/723,144 = 723,144/x
3. Step 3: Cross multiply
   329,496x = 723,144 × 723,144
4. Step 4: Simplify right side
   329,496x = 522,937,244,736
5. Step 5: Solve for x
   x = 522,937,244,736/329,496
6. Step 6: Final answer
   x = 1,587,082.22