Finding the Third Proportional to 368.91 and 516.56

Step by Step Solution

1. Step 1: Write the proportion equation
   368.91 : 516.56 = 516.56 : x
2. Step 2: Convert to fraction form
   368.91/516.56 = 516.56/x
3. Step 3: Cross multiply
   368.91x = 516.56 × 516.56
4. Step 4: Simplify right side
   368.91x = 266,836.82
5. Step 5: Solve for x
   x = 266,836.82/368.91
6. Step 6: Final answer
   x = 723.32