Finding the Third Proportional to 1,013,829 and 1,569,278

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,829 : 1,569,278 = 1,569,278 : x
2. Step 2: Convert to fraction form
   1,013,829/1,569,278 = 1,569,278/x
3. Step 3: Cross multiply
   1,013,829x = 1,569,278 × 1,569,278
4. Step 4: Simplify right side
   1,013,829x = 2,462,633,441,284
5. Step 5: Solve for x
   x = 2,462,633,441,284/1,013,829
6. Step 6: Final answer
   x = 2,429,042.22