Finding the Third Proportional to 213,584 and 469,802

Step by Step Solution

1. Step 1: Write the proportion equation
   213,584 : 469,802 = 469,802 : x
2. Step 2: Convert to fraction form
   213,584/469,802 = 469,802/x
3. Step 3: Cross multiply
   213,584x = 469,802 × 469,802
4. Step 4: Simplify right side
   213,584x = 220,713,919,204
5. Step 5: Solve for x
   x = 220,713,919,204/213,584
6. Step 6: Final answer
   x = 1,033,382.27