Finding the Third Proportional to 41,793 and 89,419

Step by Step Solution

1. Step 1: Write the proportion equation
   41,793 : 89,419 = 89,419 : x
2. Step 2: Convert to fraction form
   41,793/89,419 = 89,419/x
3. Step 3: Cross multiply
   41,793x = 89,419 × 89,419
4. Step 4: Simplify right side
   41,793x = 7,995,757,561
5. Step 5: Solve for x
   x = 7,995,757,561/41,793
6. Step 6: Final answer
   x = 191,318.10