Finding the Third Proportional to 216,434 and 469,834

Step by Step Solution

1. Step 1: Write the proportion equation
   216,434 : 469,834 = 469,834 : x
2. Step 2: Convert to fraction form
   216,434/469,834 = 469,834/x
3. Step 3: Cross multiply
   216,434x = 469,834 × 469,834
4. Step 4: Simplify right side
   216,434x = 220,743,987,556
5. Step 5: Solve for x
   x = 220,743,987,556/216,434
6. Step 6: Final answer
   x = 1,019,913.63