Finding the Third Proportional to 825,849 and 1,276,327

Step by Step Solution

1. Step 1: Write the proportion equation
   825,849 : 1,276,327 = 1,276,327 : x
2. Step 2: Convert to fraction form
   825,849/1,276,327 = 1,276,327/x
3. Step 3: Cross multiply
   825,849x = 1,276,327 × 1,276,327
4. Step 4: Simplify right side
   825,849x = 1,629,010,610,929
5. Step 5: Solve for x
   x = 1,629,010,610,929/825,849
6. Step 6: Final answer
   x = 1,972,528.41