Finding the Third Proportional to 209,721 and 333,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,721 : 333,580.50 = 333,580.50 : x
2. Step 2: Convert to fraction form
   209,721/333,580.50 = 333,580.50/x
3. Step 3: Cross multiply
   209,721x = 333,580.50 × 333,580.50
4. Step 4: Simplify right side
   209,721x = 111,275,949,980.25
5. Step 5: Solve for x
   x = 111,275,949,980.25/209,721
6. Step 6: Final answer
   x = 530,590.40