Finding the Third Proportional to 200,904 and 422,496

Step by Step Solution

1. Step 1: Write the proportion equation
   200,904 : 422,496 = 422,496 : x
2. Step 2: Convert to fraction form
   200,904/422,496 = 422,496/x
3. Step 3: Cross multiply
   200,904x = 422,496 × 422,496
4. Step 4: Simplify right side
   200,904x = 178,502,870,016
5. Step 5: Solve for x
   x = 178,502,870,016/200,904
6. Step 6: Final answer
   x = 888,498.34