Finding the Third Proportional to 380.81 and 516.03

Step by Step Solution

1. Step 1: Write the proportion equation
   380.81 : 516.03 = 516.03 : x
2. Step 2: Convert to fraction form
   380.81/516.03 = 516.03/x
3. Step 3: Cross multiply
   380.81x = 516.03 × 516.03
4. Step 4: Simplify right side
   380.81x = 266,288.25
5. Step 5: Solve for x
   x = 266,288.25/380.81
6. Step 6: Final answer
   x = 699.26