Finding the Third Proportional to 111.69 and 174.66

Step by Step Solution

1. Step 1: Write the proportion equation
   111.69 : 174.66 = 174.66 : x
2. Step 2: Convert to fraction form
   111.69/174.66 = 174.66/x
3. Step 3: Cross multiply
   111.69x = 174.66 × 174.66
4. Step 4: Simplify right side
   111.69x = 30,504.81
5. Step 5: Solve for x
   x = 30,504.81/111.69
6. Step 6: Final answer
   x = 273.12