Finding the Third Proportional to 41,050 and 89,814

Step by Step Solution

1. Step 1: Write the proportion equation
   41,050 : 89,814 = 89,814 : x
2. Step 2: Convert to fraction form
   41,050/89,814 = 89,814/x
3. Step 3: Cross multiply
   41,050x = 89,814 × 89,814
4. Step 4: Simplify right side
   41,050x = 8,066,554,596
5. Step 5: Solve for x
   x = 8,066,554,596/41,050
6. Step 6: Final answer
   x = 196,505.59