Finding the Third Proportional to 100,618 and 209,570

Step by Step Solution

1. Step 1: Write the proportion equation
   100,618 : 209,570 = 209,570 : x
2. Step 2: Convert to fraction form
   100,618/209,570 = 209,570/x
3. Step 3: Cross multiply
   100,618x = 209,570 × 209,570
4. Step 4: Simplify right side
   100,618x = 43,919,584,900
5. Step 5: Solve for x
   x = 43,919,584,900/100,618
6. Step 6: Final answer
   x = 436,498.29