Finding the Third Proportional to 200,874 and 275,446

Step by Step Solution

1. Step 1: Write the proportion equation
   200,874 : 275,446 = 275,446 : x
2. Step 2: Convert to fraction form
   200,874/275,446 = 275,446/x
3. Step 3: Cross multiply
   200,874x = 275,446 × 275,446
4. Step 4: Simplify right side
   200,874x = 75,870,498,916
5. Step 5: Solve for x
   x = 75,870,498,916/200,874
6. Step 6: Final answer
   x = 377,701.94