Finding the Third Proportional to 769,023 and 1,682,784

Step by Step Solution

1. Step 1: Write the proportion equation
   769,023 : 1,682,784 = 1,682,784 : x
2. Step 2: Convert to fraction form
   769,023/1,682,784 = 1,682,784/x
3. Step 3: Cross multiply
   769,023x = 1,682,784 × 1,682,784
4. Step 4: Simplify right side
   769,023x = 2,831,761,990,656
5. Step 5: Solve for x
   x = 2,831,761,990,656/769,023
6. Step 6: Final answer
   x = 3,682,285.17