Finding the Third Proportional to 41,289 and 90,488

Step by Step Solution

1. Step 1: Write the proportion equation
   41,289 : 90,488 = 90,488 : x
2. Step 2: Convert to fraction form
   41,289/90,488 = 90,488/x
3. Step 3: Cross multiply
   41,289x = 90,488 × 90,488
4. Step 4: Simplify right side
   41,289x = 8,188,078,144
5. Step 5: Solve for x
   x = 8,188,078,144/41,289
6. Step 6: Final answer
   x = 198,311.37