Finding the Third Proportional to 65,736 and 141,327

Step by Step Solution

1. Step 1: Write the proportion equation
   65,736 : 141,327 = 141,327 : x
2. Step 2: Convert to fraction form
   65,736/141,327 = 141,327/x
3. Step 3: Cross multiply
   65,736x = 141,327 × 141,327
4. Step 4: Simplify right side
   65,736x = 19,973,320,929
5. Step 5: Solve for x
   x = 19,973,320,929/65,736
6. Step 6: Final answer
   x = 303,841.44