Finding the Third Proportional to 41,313 and 89,186

Step by Step Solution

1. Step 1: Write the proportion equation
   41,313 : 89,186 = 89,186 : x
2. Step 2: Convert to fraction form
   41,313/89,186 = 89,186/x
3. Step 3: Cross multiply
   41,313x = 89,186 × 89,186
4. Step 4: Simplify right side
   41,313x = 7,954,142,596
5. Step 5: Solve for x
   x = 7,954,142,596/41,313
6. Step 6: Final answer
   x = 192,533.65