Finding the Third Proportional to 282,096 and 423,684

Step by Step Solution

1. Step 1: Write the proportion equation
   282,096 : 423,684 = 423,684 : x
2. Step 2: Convert to fraction form
   282,096/423,684 = 423,684/x
3. Step 3: Cross multiply
   282,096x = 423,684 × 423,684
4. Step 4: Simplify right side
   282,096x = 179,508,131,856
5. Step 5: Solve for x
   x = 179,508,131,856/282,096
6. Step 6: Final answer
   x = 636,337.03