Finding the Third Proportional to 200,918 and 275,499

Step by Step Solution

1. Step 1: Write the proportion equation
   200,918 : 275,499 = 275,499 : x
2. Step 2: Convert to fraction form
   200,918/275,499 = 275,499/x
3. Step 3: Cross multiply
   200,918x = 275,499 × 275,499
4. Step 4: Simplify right side
   200,918x = 75,899,699,001
5. Step 5: Solve for x
   x = 75,899,699,001/200,918
6. Step 6: Final answer
   x = 377,764.56