Finding the Third Proportional to 111.56 and 175.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111.56 : 175.25 = 175.25 : x
2. Step 2: Convert to fraction form
   111.56/175.25 = 175.25/x
3. Step 3: Cross multiply
   111.56x = 175.25 × 175.25
4. Step 4: Simplify right side
   111.56x = 30,712.56
5. Step 5: Solve for x
   x = 30,712.56/111.56
6. Step 6: Final answer
   x = 275.29