Finding the Third Proportional to 111,850 and 171,667

Step by Step Solution

1. Step 1: Write the proportion equation
   111,850 : 171,667 = 171,667 : x
2. Step 2: Convert to fraction form
   111,850/171,667 = 171,667/x
3. Step 3: Cross multiply
   111,850x = 171,667 × 171,667
4. Step 4: Simplify right side
   111,850x = 29,469,558,889
5. Step 5: Solve for x
   x = 29,469,558,889/111,850
6. Step 6: Final answer
   x = 263,473.93