Finding the Third Proportional to 199,736 and 422,008

Step by Step Solution

1. Step 1: Write the proportion equation
   199,736 : 422,008 = 422,008 : x
2. Step 2: Convert to fraction form
   199,736/422,008 = 422,008/x
3. Step 3: Cross multiply
   199,736x = 422,008 × 422,008
4. Step 4: Simplify right side
   199,736x = 178,090,752,064
5. Step 5: Solve for x
   x = 178,090,752,064/199,736
6. Step 6: Final answer
   x = 891,630.71