Finding the Third Proportional to 41,826 and 89,470

Step by Step Solution

1. Step 1: Write the proportion equation
   41,826 : 89,470 = 89,470 : x
2. Step 2: Convert to fraction form
   41,826/89,470 = 89,470/x
3. Step 3: Cross multiply
   41,826x = 89,470 × 89,470
4. Step 4: Simplify right side
   41,826x = 8,004,880,900
5. Step 5: Solve for x
   x = 8,004,880,900/41,826
6. Step 6: Final answer
   x = 191,385.28