Finding the Third Proportional to 111.66 and 179.30

Step by Step Solution

1. Step 1: Write the proportion equation
   111.66 : 179.30 = 179.30 : x
2. Step 2: Convert to fraction form
   111.66/179.30 = 179.30/x
3. Step 3: Cross multiply
   111.66x = 179.30 × 179.30
4. Step 4: Simplify right side
   111.66x = 32,147.37
5. Step 5: Solve for x
   x = 32,147.37/111.66
6. Step 6: Final answer
   x = 287.91