Finding the Third Proportional to 322.25 and 411.88

Step by Step Solution

1. Step 1: Write the proportion equation
   322.25 : 411.88 = 411.88 : x
2. Step 2: Convert to fraction form
   322.25/411.88 = 411.88/x
3. Step 3: Cross multiply
   322.25x = 411.88 × 411.88
4. Step 4: Simplify right side
   322.25x = 169,641.02
5. Step 5: Solve for x
   x = 169,641.02/322.25
6. Step 6: Final answer
   x = 526.43