Finding the Third Proportional to 127.38 and 140.94

Step by Step Solution

1. Step 1: Write the proportion equation
   127.38 : 140.94 = 140.94 : x
2. Step 2: Convert to fraction form
   127.38/140.94 = 140.94/x
3. Step 3: Cross multiply
   127.38x = 140.94 × 140.94
4. Step 4: Simplify right side
   127.38x = 19,863.38
5. Step 5: Solve for x
   x = 19,863.38/127.38
6. Step 6: Final answer
   x = 155.94