Finding the Third Proportional to 52.59 and 108.28

Step by Step Solution

1. Step 1: Write the proportion equation
   52.59 : 108.28 = 108.28 : x
2. Step 2: Convert to fraction form
   52.59/108.28 = 108.28/x
3. Step 3: Cross multiply
   52.59x = 108.28 × 108.28
4. Step 4: Simplify right side
   52.59x = 11,724.83
5. Step 5: Solve for x
   x = 11,724.83/52.59
6. Step 6: Final answer
   x = 222.93