Finding the Third Proportional to 40,944 and 89,526

Step by Step Solution

1. Step 1: Write the proportion equation
   40,944 : 89,526 = 89,526 : x
2. Step 2: Convert to fraction form
   40,944/89,526 = 89,526/x
3. Step 3: Cross multiply
   40,944x = 89,526 × 89,526
4. Step 4: Simplify right side
   40,944x = 8,014,904,676
5. Step 5: Solve for x
   x = 8,014,904,676/40,944
6. Step 6: Final answer
   x = 195,752.85