Finding the Third Proportional to 401,008 and 827,456

Step by Step Solution

1. Step 1: Write the proportion equation
   401,008 : 827,456 = 827,456 : x
2. Step 2: Convert to fraction form
   401,008/827,456 = 827,456/x
3. Step 3: Cross multiply
   401,008x = 827,456 × 827,456
4. Step 4: Simplify right side
   401,008x = 684,683,431,936
5. Step 5: Solve for x
   x = 684,683,431,936/401,008
6. Step 6: Final answer
   x = 1,707,405.92