Finding the Third Proportional to 768,968 and 1,682,752

Step by Step Solution

1. Step 1: Write the proportion equation
   768,968 : 1,682,752 = 1,682,752 : x
2. Step 2: Convert to fraction form
   768,968/1,682,752 = 1,682,752/x
3. Step 3: Cross multiply
   768,968x = 1,682,752 × 1,682,752
4. Step 4: Simplify right side
   768,968x = 2,831,654,293,504
5. Step 5: Solve for x
   x = 2,831,654,293,504/768,968
6. Step 6: Final answer
   x = 3,682,408.49