Finding the Third Proportional to 1,253,584 and 1,827,864

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253,584 : 1,827,864 = 1,827,864 : x
2. Step 2: Convert to fraction form
   1,253,584/1,827,864 = 1,827,864/x
3. Step 3: Cross multiply
   1,253,584x = 1,827,864 × 1,827,864
4. Step 4: Simplify right side
   1,253,584x = 3,341,086,802,496
5. Step 5: Solve for x
   x = 3,341,086,802,496/1,253,584
6. Step 6: Final answer
   x = 2,665,227.70