Finding the Third Proportional to 41,131 and 89,309

Step by Step Solution

1. Step 1: Write the proportion equation
   41,131 : 89,309 = 89,309 : x
2. Step 2: Convert to fraction form
   41,131/89,309 = 89,309/x
3. Step 3: Cross multiply
   41,131x = 89,309 × 89,309
4. Step 4: Simplify right side
   41,131x = 7,976,097,481
5. Step 5: Solve for x
   x = 7,976,097,481/41,131
6. Step 6: Final answer
   x = 193,919.37