Finding the Third Proportional to 329.38 and 708.50

Step by Step Solution

1. Step 1: Write the proportion equation
   329.38 : 708.50 = 708.50 : x
2. Step 2: Convert to fraction form
   329.38/708.50 = 708.50/x
3. Step 3: Cross multiply
   329.38x = 708.50 × 708.50
4. Step 4: Simplify right side
   329.38x = 501,972.25
5. Step 5: Solve for x
   x = 501,972.25/329.38
6. Step 6: Final answer
   x = 1,524.01