Finding the Third Proportional to 59.25 and 113.88

Step by Step Solution

1. Step 1: Write the proportion equation
   59.25 : 113.88 = 113.88 : x
2. Step 2: Convert to fraction form
   59.25/113.88 = 113.88/x
3. Step 3: Cross multiply
   59.25x = 113.88 × 113.88
4. Step 4: Simplify right side
   59.25x = 12,967.52
5. Step 5: Solve for x
   x = 12,967.52/59.25
6. Step 6: Final answer
   x = 218.86