Finding the Third Proportional to 337.92 and 516.59

Step by Step Solution

1. Step 1: Write the proportion equation
   337.92 : 516.59 = 516.59 : x
2. Step 2: Convert to fraction form
   337.92/516.59 = 516.59/x
3. Step 3: Cross multiply
   337.92x = 516.59 × 516.59
4. Step 4: Simplify right side
   337.92x = 266,861.03
5. Step 5: Solve for x
   x = 266,861.03/337.92
6. Step 6: Final answer
   x = 789.71