Finding the Third Proportional to 142.13 and 328.31

Step by Step Solution

1. Step 1: Write the proportion equation
   142.13 : 328.31 = 328.31 : x
2. Step 2: Convert to fraction form
   142.13/328.31 = 328.31/x
3. Step 3: Cross multiply
   142.13x = 328.31 × 328.31
4. Step 4: Simplify right side
   142.13x = 107,789.10
5. Step 5: Solve for x
   x = 107,789.10/142.13
6. Step 6: Final answer
   x = 758.41