Finding the Third Proportional to 65,664 and 140,736

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 140,736 = 140,736 : x
2. Step 2: Convert to fraction form
   65,664/140,736 = 140,736/x
3. Step 3: Cross multiply
   65,664x = 140,736 × 140,736
4. Step 4: Simplify right side
   65,664x = 19,806,621,696
5. Step 5: Solve for x
   x = 19,806,621,696/65,664
6. Step 6: Final answer
   x = 301,635.93