Finding the Third Proportional to 111,640 and 159,158

Step by Step Solution

1. Step 1: Write the proportion equation
   111,640 : 159,158 = 159,158 : x
2. Step 2: Convert to fraction form
   111,640/159,158 = 159,158/x
3. Step 3: Cross multiply
   111,640x = 159,158 × 159,158
4. Step 4: Simplify right side
   111,640x = 25,331,268,964
5. Step 5: Solve for x
   x = 25,331,268,964/111,640
6. Step 6: Final answer
   x = 226,901.37