Finding the Third Proportional to 322.50 and 500.25

Step by Step Solution

1. Step 1: Write the proportion equation
   322.50 : 500.25 = 500.25 : x
2. Step 2: Convert to fraction form
   322.50/500.25 = 500.25/x
3. Step 3: Cross multiply
   322.50x = 500.25 × 500.25
4. Step 4: Simplify right side
   322.50x = 250,250.06
5. Step 5: Solve for x
   x = 250,250.06/322.50
6. Step 6: Final answer
   x = 775.97