Finding the Third Proportional to 41,122 and 89,642

Step by Step Solution

1. Step 1: Write the proportion equation
   41,122 : 89,642 = 89,642 : x
2. Step 2: Convert to fraction form
   41,122/89,642 = 89,642/x
3. Step 3: Cross multiply
   41,122x = 89,642 × 89,642
4. Step 4: Simplify right side
   41,122x = 8,035,688,164
5. Step 5: Solve for x
   x = 8,035,688,164/41,122
6. Step 6: Final answer
   x = 195,410.93