Finding the Third Proportional to 50.06 and 106.27

Step by Step Solution

1. Step 1: Write the proportion equation
   50.06 : 106.27 = 106.27 : x
2. Step 2: Convert to fraction form
   50.06/106.27 = 106.27/x
3. Step 3: Cross multiply
   50.06x = 106.27 × 106.27
4. Step 4: Simplify right side
   50.06x = 11,292.38
5. Step 5: Solve for x
   x = 11,292.38/50.06
6. Step 6: Final answer
   x = 225.57