Finding the Third Proportional to 329.75 and 709.38

Step by Step Solution

1. Step 1: Write the proportion equation
   329.75 : 709.38 = 709.38 : x
2. Step 2: Convert to fraction form
   329.75/709.38 = 709.38/x
3. Step 3: Cross multiply
   329.75x = 709.38 × 709.38
4. Step 4: Simplify right side
   329.75x = 503,212.89
5. Step 5: Solve for x
   x = 503,212.89/329.75
6. Step 6: Final answer
   x = 1,526.04