Finding the Third Proportional to 823,024 and 1,684,183

Step by Step Solution

1. Step 1: Write the proportion equation
   823,024 : 1,684,183 = 1,684,183 : x
2. Step 2: Convert to fraction form
   823,024/1,684,183 = 1,684,183/x
3. Step 3: Cross multiply
   823,024x = 1,684,183 × 1,684,183
4. Step 4: Simplify right side
   823,024x = 2,836,472,377,489
5. Step 5: Solve for x
   x = 2,836,472,377,489/823,024
6. Step 6: Final answer
   x = 3,446,402.99