Finding the Third Proportional to 119.38 and 282.88

Step by Step Solution

1. Step 1: Write the proportion equation
   119.38 : 282.88 = 282.88 : x
2. Step 2: Convert to fraction form
   119.38/282.88 = 282.88/x
3. Step 3: Cross multiply
   119.38x = 282.88 × 282.88
4. Step 4: Simplify right side
   119.38x = 80,018.27
5. Step 5: Solve for x
   x = 80,018.27/119.38
6. Step 6: Final answer
   x = 670.31