Finding the Third Proportional to 113,696 and 159,036

Step by Step Solution

1. Step 1: Write the proportion equation
   113,696 : 159,036 = 159,036 : x
2. Step 2: Convert to fraction form
   113,696/159,036 = 159,036/x
3. Step 3: Cross multiply
   113,696x = 159,036 × 159,036
4. Step 4: Simplify right side
   113,696x = 25,292,449,296
5. Step 5: Solve for x
   x = 25,292,449,296/113,696
6. Step 6: Final answer
   x = 222,456.81