Finding the Third Proportional to 41,640 and 86,520

Step by Step Solution

1. Step 1: Write the proportion equation
   41,640 : 86,520 = 86,520 : x
2. Step 2: Convert to fraction form
   41,640/86,520 = 86,520/x
3. Step 3: Cross multiply
   41,640x = 86,520 × 86,520
4. Step 4: Simplify right side
   41,640x = 7,485,710,400
5. Step 5: Solve for x
   x = 7,485,710,400/41,640
6. Step 6: Final answer
   x = 179,772.10