Finding the Third Proportional to 127.88 and 188.06

Step by Step Solution

1. Step 1: Write the proportion equation
   127.88 : 188.06 = 188.06 : x
2. Step 2: Convert to fraction form
   127.88/188.06 = 188.06/x
3. Step 3: Cross multiply
   127.88x = 188.06 × 188.06
4. Step 4: Simplify right side
   127.88x = 35,367.50
5. Step 5: Solve for x
   x = 35,367.50/127.88
6. Step 6: Final answer
   x = 276.58