Finding the Third Proportional to 823,018 and 1,684,171

Step by Step Solution

1. Step 1: Write the proportion equation
   823,018 : 1,684,171 = 1,684,171 : x
2. Step 2: Convert to fraction form
   823,018/1,684,171 = 1,684,171/x
3. Step 3: Cross multiply
   823,018x = 1,684,171 × 1,684,171
4. Step 4: Simplify right side
   823,018x = 2,836,431,957,241
5. Step 5: Solve for x
   x = 2,836,431,957,241/823,018
6. Step 6: Final answer
   x = 3,446,379.01