Finding the Third Proportional to 67,920 and 141,984

Step by Step Solution

1. Step 1: Write the proportion equation
   67,920 : 141,984 = 141,984 : x
2. Step 2: Convert to fraction form
   67,920/141,984 = 141,984/x
3. Step 3: Cross multiply
   67,920x = 141,984 × 141,984
4. Step 4: Simplify right side
   67,920x = 20,159,456,256
5. Step 5: Solve for x
   x = 20,159,456,256/67,920
6. Step 6: Final answer
   x = 296,811.78