Finding the Third Proportional to 91,744 and 200,972

Step by Step Solution

1. Step 1: Write the proportion equation
   91,744 : 200,972 = 200,972 : x
2. Step 2: Convert to fraction form
   91,744/200,972 = 200,972/x
3. Step 3: Cross multiply
   91,744x = 200,972 × 200,972
4. Step 4: Simplify right side
   91,744x = 40,389,744,784
5. Step 5: Solve for x
   x = 40,389,744,784/91,744
6. Step 6: Final answer
   x = 440,243.99