Finding the Third Proportional to 127.13 and 278.88

Step by Step Solution

1. Step 1: Write the proportion equation
   127.13 : 278.88 = 278.88 : x
2. Step 2: Convert to fraction form
   127.13/278.88 = 278.88/x
3. Step 3: Cross multiply
   127.13x = 278.88 × 278.88
4. Step 4: Simplify right side
   127.13x = 77,771.27
5. Step 5: Solve for x
   x = 77,771.27/127.13
6. Step 6: Final answer
   x = 611.77