Finding the Third Proportional to 219,304 and 469,744

Step by Step Solution

1. Step 1: Write the proportion equation
   219,304 : 469,744 = 469,744 : x
2. Step 2: Convert to fraction form
   219,304/469,744 = 469,744/x
3. Step 3: Cross multiply
   219,304x = 469,744 × 469,744
4. Step 4: Simplify right side
   219,304x = 220,659,425,536
5. Step 5: Solve for x
   x = 220,659,425,536/219,304
6. Step 6: Final answer
   x = 1,006,180.58