Finding the Third Proportional to 142.75 and 234.13

Step by Step Solution

1. Step 1: Write the proportion equation
   142.75 : 234.13 = 234.13 : x
2. Step 2: Convert to fraction form
   142.75/234.13 = 234.13/x
3. Step 3: Cross multiply
   142.75x = 234.13 × 234.13
4. Step 4: Simplify right side
   142.75x = 54,814.52
5. Step 5: Solve for x
   x = 54,814.52/142.75
6. Step 6: Final answer
   x = 383.99