Finding the Third Proportional to 111.69 and 231.93

Step by Step Solution

1. Step 1: Write the proportion equation
   111.69 : 231.93 = 231.93 : x
2. Step 2: Convert to fraction form
   111.69/231.93 = 231.93/x
3. Step 3: Cross multiply
   111.69x = 231.93 × 231.93
4. Step 4: Simplify right side
   111.69x = 53,789.57
5. Step 5: Solve for x
   x = 53,789.57/111.69
6. Step 6: Final answer
   x = 481.59