Finding the Third Proportional to 50.27 and 106.24

Step by Step Solution

1. Step 1: Write the proportion equation
   50.27 : 106.24 = 106.24 : x
2. Step 2: Convert to fraction form
   50.27/106.24 = 106.24/x
3. Step 3: Cross multiply
   50.27x = 106.24 × 106.24
4. Step 4: Simplify right side
   50.27x = 11,287.40
5. Step 5: Solve for x
   x = 11,287.40/50.27
6. Step 6: Final answer
   x = 224.52