Finding the Third Proportional to 64,608 and 141,960

Step by Step Solution

1. Step 1: Write the proportion equation
   64,608 : 141,960 = 141,960 : x
2. Step 2: Convert to fraction form
   64,608/141,960 = 141,960/x
3. Step 3: Cross multiply
   64,608x = 141,960 × 141,960
4. Step 4: Simplify right side
   64,608x = 20,152,641,600
5. Step 5: Solve for x
   x = 20,152,641,600/64,608
6. Step 6: Final answer
   x = 311,921.77