Finding the Third Proportional to 209,397 and 333,521

Step by Step Solution

1. Step 1: Write the proportion equation
   209,397 : 333,521 = 333,521 : x
2. Step 2: Convert to fraction form
   209,397/333,521 = 333,521/x
3. Step 3: Cross multiply
   209,397x = 333,521 × 333,521
4. Step 4: Simplify right side
   209,397x = 111,236,257,441
5. Step 5: Solve for x
   x = 111,236,257,441/209,397
6. Step 6: Final answer
   x = 531,221.83