Finding the Third Proportional to 111.66 and 181.27

Step by Step Solution

1. Step 1: Write the proportion equation
   111.66 : 181.27 = 181.27 : x
2. Step 2: Convert to fraction form
   111.66/181.27 = 181.27/x
3. Step 3: Cross multiply
   111.66x = 181.27 × 181.27
4. Step 4: Simplify right side
   111.66x = 32,857.23
5. Step 5: Solve for x
   x = 32,857.23/111.66
6. Step 6: Final answer
   x = 294.27