Finding the Third Proportional to 326.72 and 499.69

Step by Step Solution

1. Step 1: Write the proportion equation
   326.72 : 499.69 = 499.69 : x
2. Step 2: Convert to fraction form
   326.72/499.69 = 499.69/x
3. Step 3: Cross multiply
   326.72x = 499.69 × 499.69
4. Step 4: Simplify right side
   326.72x = 249,687.60
5. Step 5: Solve for x
   x = 249,687.60/326.72
6. Step 6: Final answer
   x = 764.23