Finding the Third Proportional to 105,192 and 224,856

Step by Step Solution

1. Step 1: Write the proportion equation
   105,192 : 224,856 = 224,856 : x
2. Step 2: Convert to fraction form
   105,192/224,856 = 224,856/x
3. Step 3: Cross multiply
   105,192x = 224,856 × 224,856
4. Step 4: Simplify right side
   105,192x = 50,560,220,736
5. Step 5: Solve for x
   x = 50,560,220,736/105,192
6. Step 6: Final answer
   x = 480,647.01