Finding the Third Proportional to 41,198 and 88,606

Step by Step Solution

1. Step 1: Write the proportion equation
   41,198 : 88,606 = 88,606 : x
2. Step 2: Convert to fraction form
   41,198/88,606 = 88,606/x
3. Step 3: Cross multiply
   41,198x = 88,606 × 88,606
4. Step 4: Simplify right side
   41,198x = 7,851,023,236
5. Step 5: Solve for x
   x = 7,851,023,236/41,198
6. Step 6: Final answer
   x = 190,568.07