Finding the Third Proportional to 59.34 and 122.91

Step by Step Solution

1. Step 1: Write the proportion equation
   59.34 : 122.91 = 122.91 : x
2. Step 2: Convert to fraction form
   59.34/122.91 = 122.91/x
3. Step 3: Cross multiply
   59.34x = 122.91 × 122.91
4. Step 4: Simplify right side
   59.34x = 15,105.95
5. Step 5: Solve for x
   x = 15,105.95/59.34
6. Step 6: Final answer
   x = 254.55