Finding the Third Proportional to 862,400 and 1,814,166

Step by Step Solution

1. Step 1: Write the proportion equation
   862,400 : 1,814,166 = 1,814,166 : x
2. Step 2: Convert to fraction form
   862,400/1,814,166 = 1,814,166/x
3. Step 3: Cross multiply
   862,400x = 1,814,166 × 1,814,166
4. Step 4: Simplify right side
   862,400x = 3,291,198,275,556
5. Step 5: Solve for x
   x = 3,291,198,275,556/862,400
6. Step 6: Final answer
   x = 3,816,324.53