Finding the Third Proportional to 827,822 and 1,269,072

Step by Step Solution

1. Step 1: Write the proportion equation
   827,822 : 1,269,072 = 1,269,072 : x
2. Step 2: Convert to fraction form
   827,822/1,269,072 = 1,269,072/x
3. Step 3: Cross multiply
   827,822x = 1,269,072 × 1,269,072
4. Step 4: Simplify right side
   827,822x = 1,610,543,741,184
5. Step 5: Solve for x
   x = 1,610,543,741,184/827,822
6. Step 6: Final answer
   x = 1,945,519.38