Finding the Third Proportional to 41,182 and 89,894

Step by Step Solution

1. Step 1: Write the proportion equation
   41,182 : 89,894 = 89,894 : x
2. Step 2: Convert to fraction form
   41,182/89,894 = 89,894/x
3. Step 3: Cross multiply
   41,182x = 89,894 × 89,894
4. Step 4: Simplify right side
   41,182x = 8,080,931,236
5. Step 5: Solve for x
   x = 8,080,931,236/41,182
6. Step 6: Final answer
   x = 196,224.84