Finding the Third Proportional to 100,588 and 209,443

Step by Step Solution

1. Step 1: Write the proportion equation
   100,588 : 209,443 = 209,443 : x
2. Step 2: Convert to fraction form
   100,588/209,443 = 209,443/x
3. Step 3: Cross multiply
   100,588x = 209,443 × 209,443
4. Step 4: Simplify right side
   100,588x = 43,866,370,249
5. Step 5: Solve for x
   x = 43,866,370,249/100,588
6. Step 6: Final answer
   x = 436,099.44