Finding the Third Proportional to 41,578 and 89,004

Step by Step Solution

1. Step 1: Write the proportion equation
   41,578 : 89,004 = 89,004 : x
2. Step 2: Convert to fraction form
   41,578/89,004 = 89,004/x
3. Step 3: Cross multiply
   41,578x = 89,004 × 89,004
4. Step 4: Simplify right side
   41,578x = 7,921,712,016
5. Step 5: Solve for x
   x = 7,921,712,016/41,578
6. Step 6: Final answer
   x = 190,526.53