Finding the Third Proportional to 55.56 and 122.56

Step by Step Solution

1. Step 1: Write the proportion equation
   55.56 : 122.56 = 122.56 : x
2. Step 2: Convert to fraction form
   55.56/122.56 = 122.56/x
3. Step 3: Cross multiply
   55.56x = 122.56 × 122.56
4. Step 4: Simplify right side
   55.56x = 15,021.57
5. Step 5: Solve for x
   x = 15,021.57/55.56
6. Step 6: Final answer
   x = 270.35