Finding the Third Proportional to 41,405 and 89,368

Step by Step Solution

1. Step 1: Write the proportion equation
   41,405 : 89,368 = 89,368 : x
2. Step 2: Convert to fraction form
   41,405/89,368 = 89,368/x
3. Step 3: Cross multiply
   41,405x = 89,368 × 89,368
4. Step 4: Simplify right side
   41,405x = 7,986,639,424
5. Step 5: Solve for x
   x = 7,986,639,424/41,405
6. Step 6: Final answer
   x = 192,890.70