Finding the Third Proportional to 52,138 and 111,656

Step by Step Solution

1. Step 1: Write the proportion equation
   52,138 : 111,656 = 111,656 : x
2. Step 2: Convert to fraction form
   52,138/111,656 = 111,656/x
3. Step 3: Cross multiply
   52,138x = 111,656 × 111,656
4. Step 4: Simplify right side
   52,138x = 12,467,062,336
5. Step 5: Solve for x
   x = 12,467,062,336/52,138
6. Step 6: Final answer
   x = 239,116.62