Finding the Third Proportional to 360,686 and 771,404

Step by Step Solution

1. Step 1: Write the proportion equation
   360,686 : 771,404 = 771,404 : x
2. Step 2: Convert to fraction form
   360,686/771,404 = 771,404/x
3. Step 3: Cross multiply
   360,686x = 771,404 × 771,404
4. Step 4: Simplify right side
   360,686x = 595,064,131,216
5. Step 5: Solve for x
   x = 595,064,131,216/360,686
6. Step 6: Final answer
   x = 1,649,812.11