Finding the Third Proportional to 59.16 and 127.22

Step by Step Solution

1. Step 1: Write the proportion equation
   59.16 : 127.22 = 127.22 : x
2. Step 2: Convert to fraction form
   59.16/127.22 = 127.22/x
3. Step 3: Cross multiply
   59.16x = 127.22 × 127.22
4. Step 4: Simplify right side
   59.16x = 16,184.61
5. Step 5: Solve for x
   x = 16,184.61/59.16
6. Step 6: Final answer
   x = 273.59