Finding the Third Proportional to 825,788 and 1,206,816

Step by Step Solution

1. Step 1: Write the proportion equation
   825,788 : 1,206,816 = 1,206,816 : x
2. Step 2: Convert to fraction form
   825,788/1,206,816 = 1,206,816/x
3. Step 3: Cross multiply
   825,788x = 1,206,816 × 1,206,816
4. Step 4: Simplify right side
   825,788x = 1,456,404,857,856
5. Step 5: Solve for x
   x = 1,456,404,857,856/825,788
6. Step 6: Final answer
   x = 1,763,654.66