Finding the Third Proportional to 91,988 and 200,824

Step by Step Solution

1. Step 1: Write the proportion equation
   91,988 : 200,824 = 200,824 : x
2. Step 2: Convert to fraction form
   91,988/200,824 = 200,824/x
3. Step 3: Cross multiply
   91,988x = 200,824 × 200,824
4. Step 4: Simplify right side
   91,988x = 40,330,278,976
5. Step 5: Solve for x
   x = 40,330,278,976/91,988
6. Step 6: Final answer
   x = 438,429.78