Finding the Third Proportional to 41,886 and 91,148

Step by Step Solution

1. Step 1: Write the proportion equation
   41,886 : 91,148 = 91,148 : x
2. Step 2: Convert to fraction form
   41,886/91,148 = 91,148/x
3. Step 3: Cross multiply
   41,886x = 91,148 × 91,148
4. Step 4: Simplify right side
   41,886x = 8,307,957,904
5. Step 5: Solve for x
   x = 8,307,957,904/41,886
6. Step 6: Final answer
   x = 198,346.89