Finding the Third Proportional to 91,976 and 199,504

Step by Step Solution

1. Step 1: Write the proportion equation
   91,976 : 199,504 = 199,504 : x
2. Step 2: Convert to fraction form
   91,976/199,504 = 199,504/x
3. Step 3: Cross multiply
   91,976x = 199,504 × 199,504
4. Step 4: Simplify right side
   91,976x = 39,801,846,016
5. Step 5: Solve for x
   x = 39,801,846,016/91,976
6. Step 6: Final answer
   x = 432,741.65