Finding the Third Proportional to 40,414 and 89,249

Step by Step Solution

1. Step 1: Write the proportion equation
   40,414 : 89,249 = 89,249 : x
2. Step 2: Convert to fraction form
   40,414/89,249 = 89,249/x
3. Step 3: Cross multiply
   40,414x = 89,249 × 89,249
4. Step 4: Simplify right side
   40,414x = 7,965,384,001
5. Step 5: Solve for x
   x = 7,965,384,001/40,414
6. Step 6: Final answer
   x = 197,094.67