Finding the Third Proportional to 41,366 and 89,729

Step by Step Solution

1. Step 1: Write the proportion equation
   41,366 : 89,729 = 89,729 : x
2. Step 2: Convert to fraction form
   41,366/89,729 = 89,729/x
3. Step 3: Cross multiply
   41,366x = 89,729 × 89,729
4. Step 4: Simplify right side
   41,366x = 8,051,293,441
5. Step 5: Solve for x
   x = 8,051,293,441/41,366
6. Step 6: Final answer
   x = 194,635.53