Finding the Third Proportional to 55.85 and 117.86

Step by Step Solution

1. Step 1: Write the proportion equation
   55.85 : 117.86 = 117.86 : x
2. Step 2: Convert to fraction form
   55.85/117.86 = 117.86/x
3. Step 3: Cross multiply
   55.85x = 117.86 × 117.86
4. Step 4: Simplify right side
   55.85x = 13,891.29
5. Step 5: Solve for x
   x = 13,891.29/55.85
6. Step 6: Final answer
   x = 248.74