Finding the Third Proportional to 282,636 and 396,114

Step by Step Solution

1. Step 1: Write the proportion equation
   282,636 : 396,114 = 396,114 : x
2. Step 2: Convert to fraction form
   282,636/396,114 = 396,114/x
3. Step 3: Cross multiply
   282,636x = 396,114 × 396,114
4. Step 4: Simplify right side
   282,636x = 156,906,300,996
5. Step 5: Solve for x
   x = 156,906,300,996/282,636
6. Step 6: Final answer
   x = 555,153.27