Finding the Third Proportional to 774,492 and 1,686,777

Step by Step Solution

1. Step 1: Write the proportion equation
   774,492 : 1,686,777 = 1,686,777 : x
2. Step 2: Convert to fraction form
   774,492/1,686,777 = 1,686,777/x
3. Step 3: Cross multiply
   774,492x = 1,686,777 × 1,686,777
4. Step 4: Simplify right side
   774,492x = 2,845,216,647,729
5. Step 5: Solve for x
   x = 2,845,216,647,729/774,492
6. Step 6: Final answer
   x = 3,673,655.31