Finding the Third Proportional to 108,596 and 159,012

Step by Step Solution

1. Step 1: Write the proportion equation
   108,596 : 159,012 = 159,012 : x
2. Step 2: Convert to fraction form
   108,596/159,012 = 159,012/x
3. Step 3: Cross multiply
   108,596x = 159,012 × 159,012
4. Step 4: Simplify right side
   108,596x = 25,284,816,144
5. Step 5: Solve for x
   x = 25,284,816,144/108,596
6. Step 6: Final answer
   x = 232,833.77