Finding the Third Proportional to 127.88 and 209.06

Step by Step Solution

1. Step 1: Write the proportion equation
   127.88 : 209.06 = 209.06 : x
2. Step 2: Convert to fraction form
   127.88/209.06 = 209.06/x
3. Step 3: Cross multiply
   127.88x = 209.06 × 209.06
4. Step 4: Simplify right side
   127.88x = 43,707.13
5. Step 5: Solve for x
   x = 43,707.13/127.88
6. Step 6: Final answer
   x = 341.80