Finding the Third Proportional to 516.38 and 800.94

Step by Step Solution

1. Step 1: Write the proportion equation
   516.38 : 800.94 = 800.94 : x
2. Step 2: Convert to fraction form
   516.38/800.94 = 800.94/x
3. Step 3: Cross multiply
   516.38x = 800.94 × 800.94
4. Step 4: Simplify right side
   516.38x = 641,500.88
5. Step 5: Solve for x
   x = 641,500.88/516.38
6. Step 6: Final answer
   x = 1,242.32