Finding the Third Proportional to 144,816 and 320,736

Step by Step Solution

1. Step 1: Write the proportion equation
   144,816 : 320,736 = 320,736 : x
2. Step 2: Convert to fraction form
   144,816/320,736 = 320,736/x
3. Step 3: Cross multiply
   144,816x = 320,736 × 320,736
4. Step 4: Simplify right side
   144,816x = 102,871,581,696
5. Step 5: Solve for x
   x = 102,871,581,696/144,816
6. Step 6: Final answer
   x = 710,360.61