Finding the Third Proportional to 1,013,823 and 1,569,267

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,823 : 1,569,267 = 1,569,267 : x
2. Step 2: Convert to fraction form
   1,013,823/1,569,267 = 1,569,267/x
3. Step 3: Cross multiply
   1,013,823x = 1,569,267 × 1,569,267
4. Step 4: Simplify right side
   1,013,823x = 2,462,598,917,289
5. Step 5: Solve for x
   x = 2,462,598,917,289/1,013,823
6. Step 6: Final answer
   x = 2,429,022.54