Finding the Third Proportional to 209,288 and 457,694

Step by Step Solution

1. Step 1: Write the proportion equation
   209,288 : 457,694 = 457,694 : x
2. Step 2: Convert to fraction form
   209,288/457,694 = 457,694/x
3. Step 3: Cross multiply
   209,288x = 457,694 × 457,694
4. Step 4: Simplify right side
   209,288x = 209,483,797,636
5. Step 5: Solve for x
   x = 209,483,797,636/209,288
6. Step 6: Final answer
   x = 1,000,935.54