Finding the Third Proportional to 41,237 and 89,834

Step by Step Solution

1. Step 1: Write the proportion equation
   41,237 : 89,834 = 89,834 : x
2. Step 2: Convert to fraction form
   41,237/89,834 = 89,834/x
3. Step 3: Cross multiply
   41,237x = 89,834 × 89,834
4. Step 4: Simplify right side
   41,237x = 8,070,147,556
5. Step 5: Solve for x
   x = 8,070,147,556/41,237
6. Step 6: Final answer
   x = 195,701.62