Finding the Third Proportional to 825,488 and 1,797,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   825,488 : 1,797,524.50 = 1,797,524.50 : x
2. Step 2: Convert to fraction form
   825,488/1,797,524.50 = 1,797,524.50/x
3. Step 3: Cross multiply
   825,488x = 1,797,524.50 × 1,797,524.50
4. Step 4: Simplify right side
   825,488x = 3,231,094,328,100.25
5. Step 5: Solve for x
   x = 3,231,094,328,100.25/825,488
6. Step 6: Final answer
   x = 3,914,162.69