Finding the Third Proportional to 41,660 and 89,272

Step by Step Solution

1. Step 1: Write the proportion equation
   41,660 : 89,272 = 89,272 : x
2. Step 2: Convert to fraction form
   41,660/89,272 = 89,272/x
3. Step 3: Cross multiply
   41,660x = 89,272 × 89,272
4. Step 4: Simplify right side
   41,660x = 7,969,489,984
5. Step 5: Solve for x
   x = 7,969,489,984/41,660
6. Step 6: Final answer
   x = 191,298.37