Finding the Third Proportional to 40,198 and 89,914

Step by Step Solution

1. Step 1: Write the proportion equation
   40,198 : 89,914 = 89,914 : x
2. Step 2: Convert to fraction form
   40,198/89,914 = 89,914/x
3. Step 3: Cross multiply
   40,198x = 89,914 × 89,914
4. Step 4: Simplify right side
   40,198x = 8,084,527,396
5. Step 5: Solve for x
   x = 8,084,527,396/40,198
6. Step 6: Final answer
   x = 201,117.65