Finding the Third Proportional to 1,013,840 and 1,569,296

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,840 : 1,569,296 = 1,569,296 : x
2. Step 2: Convert to fraction form
   1,013,840/1,569,296 = 1,569,296/x
3. Step 3: Cross multiply
   1,013,840x = 1,569,296 × 1,569,296
4. Step 4: Simplify right side
   1,013,840x = 2,462,689,935,616
5. Step 5: Solve for x
   x = 2,462,689,935,616/1,013,840
6. Step 6: Final answer
   x = 2,429,071.58