Finding the Third Proportional to 59.06 and 128.04

Step by Step Solution

1. Step 1: Write the proportion equation
   59.06 : 128.04 = 128.04 : x
2. Step 2: Convert to fraction form
   59.06/128.04 = 128.04/x
3. Step 3: Cross multiply
   59.06x = 128.04 × 128.04
4. Step 4: Simplify right side
   59.06x = 16,394.00
5. Step 5: Solve for x
   x = 16,394.00/59.06
6. Step 6: Final answer
   x = 277.57