Finding the Third Proportional to 142.88 and 234.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142.88 : 234.38 = 234.38 : x
2. Step 2: Convert to fraction form
   142.88/234.38 = 234.38/x
3. Step 3: Cross multiply
   142.88x = 234.38 × 234.38
4. Step 4: Simplify right side
   142.88x = 54,931.64
5. Step 5: Solve for x
   x = 54,931.64/142.88
6. Step 6: Final answer
   x = 384.47