Finding the Third Proportional to 329.06 and 723.59

Step by Step Solution

1. Step 1: Write the proportion equation
   329.06 : 723.59 = 723.59 : x
2. Step 2: Convert to fraction form
   329.06/723.59 = 723.59/x
3. Step 3: Cross multiply
   329.06x = 723.59 × 723.59
4. Step 4: Simplify right side
   329.06x = 523,576.61
5. Step 5: Solve for x
   x = 523,576.61/329.06
6. Step 6: Final answer
   x = 1,591.12