Finding the Third Proportional to 41,823 and 89,396

Step by Step Solution

1. Step 1: Write the proportion equation
   41,823 : 89,396 = 89,396 : x
2. Step 2: Convert to fraction form
   41,823/89,396 = 89,396/x
3. Step 3: Cross multiply
   41,823x = 89,396 × 89,396
4. Step 4: Simplify right side
   41,823x = 7,991,644,816
5. Step 5: Solve for x
   x = 7,991,644,816/41,823
6. Step 6: Final answer
   x = 191,082.53