Finding the Third Proportional to 200,916 and 275,496

Step by Step Solution

1. Step 1: Write the proportion equation
   200,916 : 275,496 = 275,496 : x
2. Step 2: Convert to fraction form
   200,916/275,496 = 275,496/x
3. Step 3: Cross multiply
   200,916x = 275,496 × 275,496
4. Step 4: Simplify right side
   200,916x = 75,898,046,016
5. Step 5: Solve for x
   x = 75,898,046,016/200,916
6. Step 6: Final answer
   x = 377,760.09