Finding the Third Proportional to 111,553 and 159,006

Step by Step Solution

1. Step 1: Write the proportion equation
   111,553 : 159,006 = 159,006 : x
2. Step 2: Convert to fraction form
   111,553/159,006 = 159,006/x
3. Step 3: Cross multiply
   111,553x = 159,006 × 159,006
4. Step 4: Simplify right side
   111,553x = 25,282,908,036
5. Step 5: Solve for x
   x = 25,282,908,036/111,553
6. Step 6: Final answer
   x = 226,644.81