Finding the Third Proportional to 825,824 and 1,162,896

Step by Step Solution

1. Step 1: Write the proportion equation
   825,824 : 1,162,896 = 1,162,896 : x
2. Step 2: Convert to fraction form
   825,824/1,162,896 = 1,162,896/x
3. Step 3: Cross multiply
   825,824x = 1,162,896 × 1,162,896
4. Step 4: Simplify right side
   825,824x = 1,352,327,106,816
5. Step 5: Solve for x
   x = 1,352,327,106,816/825,824
6. Step 6: Final answer
   x = 1,637,548.81