Finding the Third Proportional to 146,320 and 218,616

Step by Step Solution

1. Step 1: Write the proportion equation
   146,320 : 218,616 = 218,616 : x
2. Step 2: Convert to fraction form
   146,320/218,616 = 218,616/x
3. Step 3: Cross multiply
   146,320x = 218,616 × 218,616
4. Step 4: Simplify right side
   146,320x = 47,792,955,456
5. Step 5: Solve for x
   x = 47,792,955,456/146,320
6. Step 6: Final answer
   x = 326,633.10