Finding the Third Proportional to 825,872 and 1,262,496

Step by Step Solution

1. Step 1: Write the proportion equation
   825,872 : 1,262,496 = 1,262,496 : x
2. Step 2: Convert to fraction form
   825,872/1,262,496 = 1,262,496/x
3. Step 3: Cross multiply
   825,872x = 1,262,496 × 1,262,496
4. Step 4: Simplify right side
   825,872x = 1,593,896,150,016
5. Step 5: Solve for x
   x = 1,593,896,150,016/825,872
6. Step 6: Final answer
   x = 1,929,955.43