Finding the Third Proportional to 111,644 and 159,164

Step by Step Solution

1. Step 1: Write the proportion equation
   111,644 : 159,164 = 159,164 : x
2. Step 2: Convert to fraction form
   111,644/159,164 = 159,164/x
3. Step 3: Cross multiply
   111,644x = 159,164 × 159,164
4. Step 4: Simplify right side
   111,644x = 25,333,178,896
5. Step 5: Solve for x
   x = 25,333,178,896/111,644
6. Step 6: Final answer
   x = 226,910.35