Finding the Third Proportional to 213,578 and 469,790

Step by Step Solution

1. Step 1: Write the proportion equation
   213,578 : 469,790 = 469,790 : x
2. Step 2: Convert to fraction form
   213,578/469,790 = 469,790/x
3. Step 3: Cross multiply
   213,578x = 469,790 × 469,790
4. Step 4: Simplify right side
   213,578x = 220,702,644,100
5. Step 5: Solve for x
   x = 220,702,644,100/213,578
6. Step 6: Final answer
   x = 1,033,358.51