Finding the Third Proportional to 105,264 and 200,829

Step by Step Solution

1. Step 1: Write the proportion equation
   105,264 : 200,829 = 200,829 : x
2. Step 2: Convert to fraction form
   105,264/200,829 = 200,829/x
3. Step 3: Cross multiply
   105,264x = 200,829 × 200,829
4. Step 4: Simplify right side
   105,264x = 40,332,287,241
5. Step 5: Solve for x
   x = 40,332,287,241/105,264
6. Step 6: Final answer
   x = 383,153.66