Finding the Third Proportional to 209,158.50 and 320,016

Step by Step Solution

1. Step 1: Write the proportion equation
   209,158.50 : 320,016 = 320,016 : x
2. Step 2: Convert to fraction form
   209,158.50/320,016 = 320,016/x
3. Step 3: Cross multiply
   209,158.50x = 320,016 × 320,016
4. Step 4: Simplify right side
   209,158.50x = 102,410,240,256
5. Step 5: Solve for x
   x = 102,410,240,256/209,158.50
6. Step 6: Final answer
   x = 489,629.83