Finding the Third Proportional to 83,163 and 158,667

Step by Step Solution

1. Step 1: Write the proportion equation
   83,163 : 158,667 = 158,667 : x
2. Step 2: Convert to fraction form
   83,163/158,667 = 158,667/x
3. Step 3: Cross multiply
   83,163x = 158,667 × 158,667
4. Step 4: Simplify right side
   83,163x = 25,175,216,889
5. Step 5: Solve for x
   x = 25,175,216,889/83,163
6. Step 6: Final answer
   x = 302,721.37