Finding the Third Proportional to 785,756 and 1,686,208

Step by Step Solution

1. Step 1: Write the proportion equation
   785,756 : 1,686,208 = 1,686,208 : x
2. Step 2: Convert to fraction form
   785,756/1,686,208 = 1,686,208/x
3. Step 3: Cross multiply
   785,756x = 1,686,208 × 1,686,208
4. Step 4: Simplify right side
   785,756x = 2,843,297,419,264
5. Step 5: Solve for x
   x = 2,843,297,419,264/785,756
6. Step 6: Final answer
   x = 3,618,550.06