Finding the Third Proportional to 209.38 and 323.88

Step by Step Solution

1. Step 1: Write the proportion equation
   209.38 : 323.88 = 323.88 : x
2. Step 2: Convert to fraction form
   209.38/323.88 = 323.88/x
3. Step 3: Cross multiply
   209.38x = 323.88 × 323.88
4. Step 4: Simplify right side
   209.38x = 104,895.02
5. Step 5: Solve for x
   x = 104,895.02/209.38
6. Step 6: Final answer
   x = 500.99