Finding the Third Proportional to 41,316 and 89,256

Step by Step Solution

1. Step 1: Write the proportion equation
   41,316 : 89,256 = 89,256 : x
2. Step 2: Convert to fraction form
   41,316/89,256 = 89,256/x
3. Step 3: Cross multiply
   41,316x = 89,256 × 89,256
4. Step 4: Simplify right side
   41,316x = 7,966,633,536
5. Step 5: Solve for x
   x = 7,966,633,536/41,316
6. Step 6: Final answer
   x = 192,821.99