Finding the Third Proportional to 322.50 and 380.25

Step by Step Solution

1. Step 1: Write the proportion equation
   322.50 : 380.25 = 380.25 : x
2. Step 2: Convert to fraction form
   322.50/380.25 = 380.25/x
3. Step 3: Cross multiply
   322.50x = 380.25 × 380.25
4. Step 4: Simplify right side
   322.50x = 144,590.06
5. Step 5: Solve for x
   x = 144,590.06/322.50
6. Step 6: Final answer
   x = 448.34