Finding the Third Proportional to 213,586 and 469,806

Step by Step Solution

1. Step 1: Write the proportion equation
   213,586 : 469,806 = 469,806 : x
2. Step 2: Convert to fraction form
   213,586/469,806 = 469,806/x
3. Step 3: Cross multiply
   213,586x = 469,806 × 469,806
4. Step 4: Simplify right side
   213,586x = 220,717,677,636
5. Step 5: Solve for x
   x = 220,717,677,636/213,586
6. Step 6: Final answer
   x = 1,033,390.19