Finding the Third Proportional to 786,022 and 1,684,089

Step by Step Solution

1. Step 1: Write the proportion equation
   786,022 : 1,684,089 = 1,684,089 : x
2. Step 2: Convert to fraction form
   786,022/1,684,089 = 1,684,089/x
3. Step 3: Cross multiply
   786,022x = 1,684,089 × 1,684,089
4. Step 4: Simplify right side
   786,022x = 2,836,155,759,921
5. Step 5: Solve for x
   x = 2,836,155,759,921/786,022
6. Step 6: Final answer
   x = 3,608,239.67