Finding the Third Proportional to 67,142 and 98,857

Step by Step Solution

1. Step 1: Write the proportion equation
   67,142 : 98,857 = 98,857 : x
2. Step 2: Convert to fraction form
   67,142/98,857 = 98,857/x
3. Step 3: Cross multiply
   67,142x = 98,857 × 98,857
4. Step 4: Simplify right side
   67,142x = 9,772,706,449
5. Step 5: Solve for x
   x = 9,772,706,449/67,142
6. Step 6: Final answer
   x = 145,552.81