Finding the Third Proportional to 328.50 and 709.31

Step by Step Solution

1. Step 1: Write the proportion equation
   328.50 : 709.31 = 709.31 : x
2. Step 2: Convert to fraction form
   328.50/709.31 = 709.31/x
3. Step 3: Cross multiply
   328.50x = 709.31 × 709.31
4. Step 4: Simplify right side
   328.50x = 503,124.22
5. Step 5: Solve for x
   x = 503,124.22/328.50
6. Step 6: Final answer
   x = 1,531.58