Finding the Third Proportional to 127.13 and 273.88

Step by Step Solution

1. Step 1: Write the proportion equation
   127.13 : 273.88 = 273.88 : x
2. Step 2: Convert to fraction form
   127.13/273.88 = 273.88/x
3. Step 3: Cross multiply
   127.13x = 273.88 × 273.88
4. Step 4: Simplify right side
   127.13x = 75,007.52
5. Step 5: Solve for x
   x = 75,007.52/127.13
6. Step 6: Final answer
   x = 590.03