Finding the Third Proportional to 142.17 and 295.31

Step by Step Solution

1. Step 1: Write the proportion equation
   142.17 : 295.31 = 295.31 : x
2. Step 2: Convert to fraction form
   142.17/295.31 = 295.31/x
3. Step 3: Cross multiply
   142.17x = 295.31 × 295.31
4. Step 4: Simplify right side
   142.17x = 87,209.47
5. Step 5: Solve for x
   x = 87,209.47/142.17
6. Step 6: Final answer
   x = 613.41