Finding the Third Proportional to 59.20 and 133.59

Step by Step Solution

1. Step 1: Write the proportion equation
   59.20 : 133.59 = 133.59 : x
2. Step 2: Convert to fraction form
   59.20/133.59 = 133.59/x
3. Step 3: Cross multiply
   59.20x = 133.59 × 133.59
4. Step 4: Simplify right side
   59.20x = 17,847.29
5. Step 5: Solve for x
   x = 17,847.29/59.20
6. Step 6: Final answer
   x = 301.46