Finding the Third Proportional to 41,327 and 89,666

Step by Step Solution

1. Step 1: Write the proportion equation
   41,327 : 89,666 = 89,666 : x
2. Step 2: Convert to fraction form
   41,327/89,666 = 89,666/x
3. Step 3: Cross multiply
   41,327x = 89,666 × 89,666
4. Step 4: Simplify right side
   41,327x = 8,039,991,556
5. Step 5: Solve for x
   x = 8,039,991,556/41,327
6. Step 6: Final answer
   x = 194,545.73