Finding the Third Proportional to 127.88 and 266.56

Step by Step Solution

1. Step 1: Write the proportion equation
   127.88 : 266.56 = 266.56 : x
2. Step 2: Convert to fraction form
   127.88/266.56 = 266.56/x
3. Step 3: Cross multiply
   127.88x = 266.56 × 266.56
4. Step 4: Simplify right side
   127.88x = 71,055.57
5. Step 5: Solve for x
   x = 71,055.57/127.88
6. Step 6: Final answer
   x = 555.66