Finding the Third Proportional to 111,159 and 171,942.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111,159 : 171,942.75 = 171,942.75 : x
2. Step 2: Convert to fraction form
   111,159/171,942.75 = 171,942.75/x
3. Step 3: Cross multiply
   111,159x = 171,942.75 × 171,942.75
4. Step 4: Simplify right side
   111,159x = 29,564,309,277.56
5. Step 5: Solve for x
   x = 29,564,309,277.56/111,159
6. Step 6: Final answer
   x = 265,964.15