Finding the Third Proportional to 105,257 and 200,814

Step by Step Solution

1. Step 1: Write the proportion equation
   105,257 : 200,814 = 200,814 : x
2. Step 2: Convert to fraction form
   105,257/200,814 = 200,814/x
3. Step 3: Cross multiply
   105,257x = 200,814 × 200,814
4. Step 4: Simplify right side
   105,257x = 40,326,262,596
5. Step 5: Solve for x
   x = 40,326,262,596/105,257
6. Step 6: Final answer
   x = 383,121.91