Finding the Third Proportional to 329,494 and 723,140

Step by Step Solution

1. Step 1: Write the proportion equation
   329,494 : 723,140 = 723,140 : x
2. Step 2: Convert to fraction form
   329,494/723,140 = 723,140/x
3. Step 3: Cross multiply
   329,494x = 723,140 × 723,140
4. Step 4: Simplify right side
   329,494x = 522,931,459,600
5. Step 5: Solve for x
   x = 522,931,459,600/329,494
6. Step 6: Final answer
   x = 1,587,074.30