Finding the Third Proportional to 1,013,864 and 1,569,326

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,864 : 1,569,326 = 1,569,326 : x
2. Step 2: Convert to fraction form
   1,013,864/1,569,326 = 1,569,326/x
3. Step 3: Cross multiply
   1,013,864x = 1,569,326 × 1,569,326
4. Step 4: Simplify right side
   1,013,864x = 2,462,784,094,276
5. Step 5: Solve for x
   x = 2,462,784,094,276/1,013,864
6. Step 6: Final answer
   x = 2,429,106.96