Finding the Third Proportional to 322.50 and 367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322.50 : 367.50 = 367.50 : x
2. Step 2: Convert to fraction form
   322.50/367.50 = 367.50/x
3. Step 3: Cross multiply
   322.50x = 367.50 × 367.50
4. Step 4: Simplify right side
   322.50x = 135,056.25
5. Step 5: Solve for x
   x = 135,056.25/322.50
6. Step 6: Final answer
   x = 418.78