Finding the Third Proportional to 209,638 and 465,716

Step by Step Solution

1. Step 1: Write the proportion equation
   209,638 : 465,716 = 465,716 : x
2. Step 2: Convert to fraction form
   209,638/465,716 = 465,716/x
3. Step 3: Cross multiply
   209,638x = 465,716 × 465,716
4. Step 4: Simplify right side
   209,638x = 216,891,392,656
5. Step 5: Solve for x
   x = 216,891,392,656/209,638
6. Step 6: Final answer
   x = 1,034,599.61