Finding the Third Proportional to 41,576 and 89,000

Step by Step Solution

1. Step 1: Write the proportion equation
   41,576 : 89,000 = 89,000 : x
2. Step 2: Convert to fraction form
   41,576/89,000 = 89,000/x
3. Step 3: Cross multiply
   41,576x = 89,000 × 89,000
4. Step 4: Simplify right side
   41,576x = 7,921,000,000
5. Step 5: Solve for x
   x = 7,921,000,000/41,576
6. Step 6: Final answer
   x = 190,518.57