Finding the Third Proportional to 83,282 and 179,857

Step by Step Solution

1. Step 1: Write the proportion equation
   83,282 : 179,857 = 179,857 : x
2. Step 2: Convert to fraction form
   83,282/179,857 = 179,857/x
3. Step 3: Cross multiply
   83,282x = 179,857 × 179,857
4. Step 4: Simplify right side
   83,282x = 32,348,540,449
5. Step 5: Solve for x
   x = 32,348,540,449/83,282
6. Step 6: Final answer
   x = 388,421.75