Finding the Third Proportional to 282.94 and 600.89

Step by Step Solution

1. Step 1: Write the proportion equation
   282.94 : 600.89 = 600.89 : x
2. Step 2: Convert to fraction form
   282.94/600.89 = 600.89/x
3. Step 3: Cross multiply
   282.94x = 600.89 × 600.89
4. Step 4: Simplify right side
   282.94x = 361,069.54
5. Step 5: Solve for x
   x = 361,069.54/282.94
6. Step 6: Final answer
   x = 1,276.15