Finding the Third Proportional to 127.38 and 185.94

Step by Step Solution

1. Step 1: Write the proportion equation
   127.38 : 185.94 = 185.94 : x
2. Step 2: Convert to fraction form
   127.38/185.94 = 185.94/x
3. Step 3: Cross multiply
   127.38x = 185.94 × 185.94
4. Step 4: Simplify right side
   127.38x = 34,572.75
5. Step 5: Solve for x
   x = 34,572.75/127.38
6. Step 6: Final answer
   x = 271.42