Finding the Third Proportional to 785,760 and 1,686,216

Step by Step Solution

1. Step 1: Write the proportion equation
   785,760 : 1,686,216 = 1,686,216 : x
2. Step 2: Convert to fraction form
   785,760/1,686,216 = 1,686,216/x
3. Step 3: Cross multiply
   785,760x = 1,686,216 × 1,686,216
4. Step 4: Simplify right side
   785,760x = 2,843,324,398,656
5. Step 5: Solve for x
   x = 2,843,324,398,656/785,760
6. Step 6: Final answer
   x = 3,618,565.97