Finding the Third Proportional to 41,138 and 89,864

Step by Step Solution

1. Step 1: Write the proportion equation
   41,138 : 89,864 = 89,864 : x
2. Step 2: Convert to fraction form
   41,138/89,864 = 89,864/x
3. Step 3: Cross multiply
   41,138x = 89,864 × 89,864
4. Step 4: Simplify right side
   41,138x = 8,075,538,496
5. Step 5: Solve for x
   x = 8,075,538,496/41,138
6. Step 6: Final answer
   x = 196,303.62