Finding the Third Proportional to 41,414 and 89,385

Step by Step Solution

1. Step 1: Write the proportion equation
   41,414 : 89,385 = 89,385 : x
2. Step 2: Convert to fraction form
   41,414/89,385 = 89,385/x
3. Step 3: Cross multiply
   41,414x = 89,385 × 89,385
4. Step 4: Simplify right side
   41,414x = 7,989,678,225
5. Step 5: Solve for x
   x = 7,989,678,225/41,414
6. Step 6: Final answer
   x = 192,922.16