Finding the Third Proportional to 366.56 and 500.81

Step by Step Solution

1. Step 1: Write the proportion equation
   366.56 : 500.81 = 500.81 : x
2. Step 2: Convert to fraction form
   366.56/500.81 = 500.81/x
3. Step 3: Cross multiply
   366.56x = 500.81 × 500.81
4. Step 4: Simplify right side
   366.56x = 250,813.16
5. Step 5: Solve for x
   x = 250,813.16/366.56
6. Step 6: Final answer
   x = 684.23