Finding the Third Proportional to 322 and 362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322 : 362.50 = 362.50 : x
2. Step 2: Convert to fraction form
   322/362.50 = 362.50/x
3. Step 3: Cross multiply
   322x = 362.50 × 362.50
4. Step 4: Simplify right side
   322x = 131,406.25
5. Step 5: Solve for x
   x = 131,406.25/322
6. Step 6: Final answer
   x = 408.09