Finding the Third Proportional to 181.69 and 268.31

Step by Step Solution

1. Step 1: Write the proportion equation
   181.69 : 268.31 = 268.31 : x
2. Step 2: Convert to fraction form
   181.69/268.31 = 268.31/x
3. Step 3: Cross multiply
   181.69x = 268.31 × 268.31
4. Step 4: Simplify right side
   181.69x = 71,991.60
5. Step 5: Solve for x
   x = 71,991.60/181.69
6. Step 6: Final answer
   x = 396.24