Finding the Third Proportional to 100,569 and 209,481.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,569 : 209,481.50 = 209,481.50 : x
2. Step 2: Convert to fraction form
   100,569/209,481.50 = 209,481.50/x
3. Step 3: Cross multiply
   100,569x = 209,481.50 × 209,481.50
4. Step 4: Simplify right side
   100,569x = 43,882,498,842.25
5. Step 5: Solve for x
   x = 43,882,498,842.25/100,569
6. Step 6: Final answer
   x = 436,342.20