Finding the Third Proportional to 65,616 and 144,768

Step by Step Solution

1. Step 1: Write the proportion equation
   65,616 : 144,768 = 144,768 : x
2. Step 2: Convert to fraction form
   65,616/144,768 = 144,768/x
3. Step 3: Cross multiply
   65,616x = 144,768 × 144,768
4. Step 4: Simplify right side
   65,616x = 20,957,773,824
5. Step 5: Solve for x
   x = 20,957,773,824/65,616
6. Step 6: Final answer
   x = 319,400.36