Finding the Third Proportional to 463,824 and 1,004,400

Step by Step Solution

1. Step 1: Write the proportion equation
   463,824 : 1,004,400 = 1,004,400 : x
2. Step 2: Convert to fraction form
   463,824/1,004,400 = 1,004,400/x
3. Step 3: Cross multiply
   463,824x = 1,004,400 × 1,004,400
4. Step 4: Simplify right side
   463,824x = 1,008,819,360,000
5. Step 5: Solve for x
   x = 1,008,819,360,000/463,824
6. Step 6: Final answer
   x = 2,175,004.66