Finding the Third Proportional to 41,880 and 89,826

Step by Step Solution

1. Step 1: Write the proportion equation
   41,880 : 89,826 = 89,826 : x
2. Step 2: Convert to fraction form
   41,880/89,826 = 89,826/x
3. Step 3: Cross multiply
   41,880x = 89,826 × 89,826
4. Step 4: Simplify right side
   41,880x = 8,068,710,276
5. Step 5: Solve for x
   x = 8,068,710,276/41,880
6. Step 6: Final answer
   x = 192,662.61