Finding the Third Proportional to 209.38 and 424.69

Step by Step Solution

1. Step 1: Write the proportion equation
   209.38 : 424.69 = 424.69 : x
2. Step 2: Convert to fraction form
   209.38/424.69 = 424.69/x
3. Step 3: Cross multiply
   209.38x = 424.69 × 424.69
4. Step 4: Simplify right side
   209.38x = 180,359.47
5. Step 5: Solve for x
   x = 180,359.47/209.38
6. Step 6: Final answer
   x = 861.42