Finding the Third Proportional to 200,724 and 275,238

Step by Step Solution

1. Step 1: Write the proportion equation
   200,724 : 275,238 = 275,238 : x
2. Step 2: Convert to fraction form
   200,724/275,238 = 275,238/x
3. Step 3: Cross multiply
   200,724x = 275,238 × 275,238
4. Step 4: Simplify right side
   200,724x = 75,755,956,644
5. Step 5: Solve for x
   x = 75,755,956,644/200,724
6. Step 6: Final answer
   x = 377,413.55