Finding the Third Proportional to 41,106 and 89,260

Step by Step Solution

1. Step 1: Write the proportion equation
   41,106 : 89,260 = 89,260 : x
2. Step 2: Convert to fraction form
   41,106/89,260 = 89,260/x
3. Step 3: Cross multiply
   41,106x = 89,260 × 89,260
4. Step 4: Simplify right side
   41,106x = 7,967,347,600
5. Step 5: Solve for x
   x = 7,967,347,600/41,106
6. Step 6: Final answer
   x = 193,824.44