Finding the Third Proportional to 59.33 and 128.62

Step by Step Solution

1. Step 1: Write the proportion equation
   59.33 : 128.62 = 128.62 : x
2. Step 2: Convert to fraction form
   59.33/128.62 = 128.62/x
3. Step 3: Cross multiply
   59.33x = 128.62 × 128.62
4. Step 4: Simplify right side
   59.33x = 16,542.88
5. Step 5: Solve for x
   x = 16,542.88/59.33
6. Step 6: Final answer
   x = 278.85