Finding the Third Proportional to 57.88 and 113.69

Step by Step Solution

1. Step 1: Write the proportion equation
   57.88 : 113.69 = 113.69 : x
2. Step 2: Convert to fraction form
   57.88/113.69 = 113.69/x
3. Step 3: Cross multiply
   57.88x = 113.69 × 113.69
4. Step 4: Simplify right side
   57.88x = 12,924.85
5. Step 5: Solve for x
   x = 12,924.85/57.88
6. Step 6: Final answer
   x = 223.32