Finding the Third Proportional to 206.56 and 321.69

Step by Step Solution

1. Step 1: Write the proportion equation
   206.56 : 321.69 = 321.69 : x
2. Step 2: Convert to fraction form
   206.56/321.69 = 321.69/x
3. Step 3: Cross multiply
   206.56x = 321.69 × 321.69
4. Step 4: Simplify right side
   206.56x = 103,482.85
5. Step 5: Solve for x
   x = 103,482.85/206.56
6. Step 6: Final answer
   x = 500.98