Finding the Third Proportional to 40,414 and 94,398

Step by Step Solution

1. Step 1: Write the proportion equation
   40,414 : 94,398 = 94,398 : x
2. Step 2: Convert to fraction form
   40,414/94,398 = 94,398/x
3. Step 3: Cross multiply
   40,414x = 94,398 × 94,398
4. Step 4: Simplify right side
   40,414x = 8,910,982,404
5. Step 5: Solve for x
   x = 8,910,982,404/40,414
6. Step 6: Final answer
   x = 220,492.46