Finding the Third Proportional to 111.80 and 175.29

Step by Step Solution

1. Step 1: Write the proportion equation
   111.80 : 175.29 = 175.29 : x
2. Step 2: Convert to fraction form
   111.80/175.29 = 175.29/x
3. Step 3: Cross multiply
   111.80x = 175.29 × 175.29
4. Step 4: Simplify right side
   111.80x = 30,726.26
5. Step 5: Solve for x
   x = 30,726.26/111.80
6. Step 6: Final answer
   x = 274.84