Finding the Third Proportional to 41,907 and 91,590

Step by Step Solution

1. Step 1: Write the proportion equation
   41,907 : 91,590 = 91,590 : x
2. Step 2: Convert to fraction form
   41,907/91,590 = 91,590/x
3. Step 3: Cross multiply
   41,907x = 91,590 × 91,590
4. Step 4: Simplify right side
   41,907x = 8,388,728,100
5. Step 5: Solve for x
   x = 8,388,728,100/41,907
6. Step 6: Final answer
   x = 200,174.87