Finding the Third Proportional to 401,638 and 836,540

Step by Step Solution

1. Step 1: Write the proportion equation
   401,638 : 836,540 = 836,540 : x
2. Step 2: Convert to fraction form
   401,638/836,540 = 836,540/x
3. Step 3: Cross multiply
   401,638x = 836,540 × 836,540
4. Step 4: Simplify right side
   401,638x = 699,799,171,600
5. Step 5: Solve for x
   x = 699,799,171,600/401,638
6. Step 6: Final answer
   x = 1,742,362.95