Finding the Third Proportional to 181.18 and 288.33

Step by Step Solution

1. Step 1: Write the proportion equation
   181.18 : 288.33 = 288.33 : x
2. Step 2: Convert to fraction form
   181.18/288.33 = 288.33/x
3. Step 3: Cross multiply
   181.18x = 288.33 × 288.33
4. Step 4: Simplify right side
   181.18x = 83,131.42
5. Step 5: Solve for x
   x = 83,131.42/181.18
6. Step 6: Final answer
   x = 458.83