Finding the Third Proportional to 55.22 and 112.69

Step by Step Solution

1. Step 1: Write the proportion equation
   55.22 : 112.69 = 112.69 : x
2. Step 2: Convert to fraction form
   55.22/112.69 = 112.69/x
3. Step 3: Cross multiply
   55.22x = 112.69 × 112.69
4. Step 4: Simplify right side
   55.22x = 12,698.47
5. Step 5: Solve for x
   x = 12,698.47/55.22
6. Step 6: Final answer
   x = 229.97