Finding the Third Proportional to 823,022 and 1,684,179

Step by Step Solution

1. Step 1: Write the proportion equation
   823,022 : 1,684,179 = 1,684,179 : x
2. Step 2: Convert to fraction form
   823,022/1,684,179 = 1,684,179/x
3. Step 3: Cross multiply
   823,022x = 1,684,179 × 1,684,179
4. Step 4: Simplify right side
   823,022x = 2,836,458,904,041
5. Step 5: Solve for x
   x = 2,836,458,904,041/823,022
6. Step 6: Final answer
   x = 3,446,395.00