Finding the Third Proportional to 140.41 and 287.69

Step by Step Solution

1. Step 1: Write the proportion equation
   140.41 : 287.69 = 287.69 : x
2. Step 2: Convert to fraction form
   140.41/287.69 = 287.69/x
3. Step 3: Cross multiply
   140.41x = 287.69 × 287.69
4. Step 4: Simplify right side
   140.41x = 82,766.91
5. Step 5: Solve for x
   x = 82,766.91/140.41
6. Step 6: Final answer
   x = 589.49