Finding the Third Proportional to 401,824 and 856,960

Step by Step Solution

1. Step 1: Write the proportion equation
   401,824 : 856,960 = 856,960 : x
2. Step 2: Convert to fraction form
   401,824/856,960 = 856,960/x
3. Step 3: Cross multiply
   401,824x = 856,960 × 856,960
4. Step 4: Simplify right side
   401,824x = 734,380,441,600
5. Step 5: Solve for x
   x = 734,380,441,600/401,824
6. Step 6: Final answer
   x = 1,827,617.17