Finding the Third Proportional to 111,328 and 166,992

Step by Step Solution

1. Step 1: Write the proportion equation
   111,328 : 166,992 = 166,992 : x
2. Step 2: Convert to fraction form
   111,328/166,992 = 166,992/x
3. Step 3: Cross multiply
   111,328x = 166,992 × 166,992
4. Step 4: Simplify right side
   111,328x = 27,886,328,064
5. Step 5: Solve for x
   x = 27,886,328,064/111,328
6. Step 6: Final answer
   x = 250,488