Finding the Third Proportional to 322.50 and 696.25

Step by Step Solution

1. Step 1: Write the proportion equation
   322.50 : 696.25 = 696.25 : x
2. Step 2: Convert to fraction form
   322.50/696.25 = 696.25/x
3. Step 3: Cross multiply
   322.50x = 696.25 × 696.25
4. Step 4: Simplify right side
   322.50x = 484,766.78
5. Step 5: Solve for x
   x = 484,766.78/322.50
6. Step 6: Final answer
   x = 1,503.17