Finding the Third Proportional to 127.88 and 166.22

Step by Step Solution

1. Step 1: Write the proportion equation
   127.88 : 166.22 = 166.22 : x
2. Step 2: Convert to fraction form
   127.88/166.22 = 166.22/x
3. Step 3: Cross multiply
   127.88x = 166.22 × 166.22
4. Step 4: Simplify right side
   127.88x = 27,628.67
5. Step 5: Solve for x
   x = 27,628.67/127.88
6. Step 6: Final answer
   x = 216.06