Finding the Third Proportional to 785,754 and 1,686,204

Step by Step Solution

1. Step 1: Write the proportion equation
   785,754 : 1,686,204 = 1,686,204 : x
2. Step 2: Convert to fraction form
   785,754/1,686,204 = 1,686,204/x
3. Step 3: Cross multiply
   785,754x = 1,686,204 × 1,686,204
4. Step 4: Simplify right side
   785,754x = 2,843,283,929,616
5. Step 5: Solve for x
   x = 2,843,283,929,616/785,754
6. Step 6: Final answer
   x = 3,618,542.10