Finding the Third Proportional to 368.50 and 516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   368.50 : 516.50 = 516.50 : x
2. Step 2: Convert to fraction form
   368.50/516.50 = 516.50/x
3. Step 3: Cross multiply
   368.50x = 516.50 × 516.50
4. Step 4: Simplify right side
   368.50x = 266,772.25
5. Step 5: Solve for x
   x = 266,772.25/368.50
6. Step 6: Final answer
   x = 723.94