Finding the Third Proportional to 367,096 and 778,256

Step by Step Solution

1. Step 1: Write the proportion equation
   367,096 : 778,256 = 778,256 : x
2. Step 2: Convert to fraction form
   367,096/778,256 = 778,256/x
3. Step 3: Cross multiply
   367,096x = 778,256 × 778,256
4. Step 4: Simplify right side
   367,096x = 605,682,401,536
5. Step 5: Solve for x
   x = 605,682,401,536/367,096
6. Step 6: Final answer
   x = 1,649,929.18