Finding the Third Proportional to 41,441 and 89,434

Step by Step Solution

1. Step 1: Write the proportion equation
   41,441 : 89,434 = 89,434 : x
2. Step 2: Convert to fraction form
   41,441/89,434 = 89,434/x
3. Step 3: Cross multiply
   41,441x = 89,434 × 89,434
4. Step 4: Simplify right side
   41,441x = 7,998,440,356
5. Step 5: Solve for x
   x = 7,998,440,356/41,441
6. Step 6: Final answer
   x = 193,007.90