Finding the Third Proportional to 64,728 and 141,168

Step by Step Solution

1. Step 1: Write the proportion equation
   64,728 : 141,168 = 141,168 : x
2. Step 2: Convert to fraction form
   64,728/141,168 = 141,168/x
3. Step 3: Cross multiply
   64,728x = 141,168 × 141,168
4. Step 4: Simplify right side
   64,728x = 19,928,404,224
5. Step 5: Solve for x
   x = 19,928,404,224/64,728
6. Step 6: Final answer
   x = 307,879.19