Finding the Third Proportional to 41,471 and 89,422

Step by Step Solution

1. Step 1: Write the proportion equation
   41,471 : 89,422 = 89,422 : x
2. Step 2: Convert to fraction form
   41,471/89,422 = 89,422/x
3. Step 3: Cross multiply
   41,471x = 89,422 × 89,422
4. Step 4: Simplify right side
   41,471x = 7,996,294,084
5. Step 5: Solve for x
   x = 7,996,294,084/41,471
6. Step 6: Final answer
   x = 192,816.52