Finding the Third Proportional to 41,609 and 86,616

Step by Step Solution

1. Step 1: Write the proportion equation
   41,609 : 86,616 = 86,616 : x
2. Step 2: Convert to fraction form
   41,609/86,616 = 86,616/x
3. Step 3: Cross multiply
   41,609x = 86,616 × 86,616
4. Step 4: Simplify right side
   41,609x = 7,502,331,456
5. Step 5: Solve for x
   x = 7,502,331,456/41,609
6. Step 6: Final answer
   x = 180,305.50