Finding the Third Proportional to 41,508 and 89,628

Step by Step Solution

1. Step 1: Write the proportion equation
   41,508 : 89,628 = 89,628 : x
2. Step 2: Convert to fraction form
   41,508/89,628 = 89,628/x
3. Step 3: Cross multiply
   41,508x = 89,628 × 89,628
4. Step 4: Simplify right side
   41,508x = 8,033,178,384
5. Step 5: Solve for x
   x = 8,033,178,384/41,508
6. Step 6: Final answer
   x = 193,533.26