Finding the Third Proportional to 825,849 and 1,276,412

Step by Step Solution

1. Step 1: Write the proportion equation
   825,849 : 1,276,412 = 1,276,412 : x
2. Step 2: Convert to fraction form
   825,849/1,276,412 = 1,276,412/x
3. Step 3: Cross multiply
   825,849x = 1,276,412 × 1,276,412
4. Step 4: Simplify right side
   825,849x = 1,629,227,593,744
5. Step 5: Solve for x
   x = 1,629,227,593,744/825,849
6. Step 6: Final answer
   x = 1,972,791.14