Finding the Third Proportional to 41,036 and 89,176

Step by Step Solution

1. Step 1: Write the proportion equation
   41,036 : 89,176 = 89,176 : x
2. Step 2: Convert to fraction form
   41,036/89,176 = 89,176/x
3. Step 3: Cross multiply
   41,036x = 89,176 × 89,176
4. Step 4: Simplify right side
   41,036x = 7,952,358,976
5. Step 5: Solve for x
   x = 7,952,358,976/41,036
6. Step 6: Final answer
   x = 193,789.82