Finding the Third Proportional to 359.38 and 757.38

Step by Step Solution

1. Step 1: Write the proportion equation
   359.38 : 757.38 = 757.38 : x
2. Step 2: Convert to fraction form
   359.38/757.38 = 757.38/x
3. Step 3: Cross multiply
   359.38x = 757.38 × 757.38
4. Step 4: Simplify right side
   359.38x = 573,616.89
5. Step 5: Solve for x
   x = 573,616.89/359.38
6. Step 6: Final answer
   x = 1,596.15