Finding the Third Proportional to 1,013,827 and 1,569,275

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,827 : 1,569,275 = 1,569,275 : x
2. Step 2: Convert to fraction form
   1,013,827/1,569,275 = 1,569,275/x
3. Step 3: Cross multiply
   1,013,827x = 1,569,275 × 1,569,275
4. Step 4: Simplify right side
   1,013,827x = 2,462,624,025,625
5. Step 5: Solve for x
   x = 2,462,624,025,625/1,013,827
6. Step 6: Final answer
   x = 2,429,037.72