Finding the Third Proportional to 105,280 and 200,856

Step by Step Solution

1. Step 1: Write the proportion equation
   105,280 : 200,856 = 200,856 : x
2. Step 2: Convert to fraction form
   105,280/200,856 = 200,856/x
3. Step 3: Cross multiply
   105,280x = 200,856 × 200,856
4. Step 4: Simplify right side
   105,280x = 40,343,132,736
5. Step 5: Solve for x
   x = 40,343,132,736/105,280
6. Step 6: Final answer
   x = 383,198.45