Finding the Third Proportional to 41,914 and 89,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,914 : 89,819.50 = 89,819.50 : x
2. Step 2: Convert to fraction form
   41,914/89,819.50 = 89,819.50/x
3. Step 3: Cross multiply
   41,914x = 89,819.50 × 89,819.50
4. Step 4: Simplify right side
   41,914x = 8,067,542,580.25
5. Step 5: Solve for x
   x = 8,067,542,580.25/41,914
6. Step 6: Final answer
   x = 192,478.47