Finding the Third Proportional to 41,314 and 89,252

Step by Step Solution

1. Step 1: Write the proportion equation
   41,314 : 89,252 = 89,252 : x
2. Step 2: Convert to fraction form
   41,314/89,252 = 89,252/x
3. Step 3: Cross multiply
   41,314x = 89,252 × 89,252
4. Step 4: Simplify right side
   41,314x = 7,965,919,504
5. Step 5: Solve for x
   x = 7,965,919,504/41,314
6. Step 6: Final answer
   x = 192,814.05