Finding the Third Proportional to 100,589 and 209,444

Step by Step Solution

1. Step 1: Write the proportion equation
   100,589 : 209,444 = 209,444 : x
2. Step 2: Convert to fraction form
   100,589/209,444 = 209,444/x
3. Step 3: Cross multiply
   100,589x = 209,444 × 209,444
4. Step 4: Simplify right side
   100,589x = 43,866,789,136
5. Step 5: Solve for x
   x = 43,866,789,136/100,589
6. Step 6: Final answer
   x = 436,099.27