Finding the Third Proportional to 50.56 and 106.56

Step by Step Solution

1. Step 1: Write the proportion equation
   50.56 : 106.56 = 106.56 : x
2. Step 2: Convert to fraction form
   50.56/106.56 = 106.56/x
3. Step 3: Cross multiply
   50.56x = 106.56 × 106.56
4. Step 4: Simplify right side
   50.56x = 11,355.57
5. Step 5: Solve for x
   x = 11,355.57/50.56
6. Step 6: Final answer
   x = 224.58