Finding the Third Proportional to 1,013,824 and 1,569,268

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,824 : 1,569,268 = 1,569,268 : x
2. Step 2: Convert to fraction form
   1,013,824/1,569,268 = 1,569,268/x
3. Step 3: Cross multiply
   1,013,824x = 1,569,268 × 1,569,268
4. Step 4: Simplify right side
   1,013,824x = 2,462,602,055,824
5. Step 5: Solve for x
   x = 2,462,602,055,824/1,013,824
6. Step 6: Final answer
   x = 2,429,023.24