Finding the Third Proportional to 41,634 and 89,217

Step by Step Solution

1. Step 1: Write the proportion equation
   41,634 : 89,217 = 89,217 : x
2. Step 2: Convert to fraction form
   41,634/89,217 = 89,217/x
3. Step 3: Cross multiply
   41,634x = 89,217 × 89,217
4. Step 4: Simplify right side
   41,634x = 7,959,673,089
5. Step 5: Solve for x
   x = 7,959,673,089/41,634
6. Step 6: Final answer
   x = 191,182.04