Finding the Third Proportional to 41,486 and 89,524

Step by Step Solution

1. Step 1: Write the proportion equation
   41,486 : 89,524 = 89,524 : x
2. Step 2: Convert to fraction form
   41,486/89,524 = 89,524/x
3. Step 3: Cross multiply
   41,486x = 89,524 × 89,524
4. Step 4: Simplify right side
   41,486x = 8,014,546,576
5. Step 5: Solve for x
   x = 8,014,546,576/41,486
6. Step 6: Final answer
   x = 193,186.78