Finding the Third Proportional to 331.69 and 516.56

Step by Step Solution

1. Step 1: Write the proportion equation
   331.69 : 516.56 = 516.56 : x
2. Step 2: Convert to fraction form
   331.69/516.56 = 516.56/x
3. Step 3: Cross multiply
   331.69x = 516.56 × 516.56
4. Step 4: Simplify right side
   331.69x = 266,836.82
5. Step 5: Solve for x
   x = 266,836.82/331.69
6. Step 6: Final answer
   x = 804.48