Finding the Third Proportional to 111,760 and 151,872

Step by Step Solution

1. Step 1: Write the proportion equation
   111,760 : 151,872 = 151,872 : x
2. Step 2: Convert to fraction form
   111,760/151,872 = 151,872/x
3. Step 3: Cross multiply
   111,760x = 151,872 × 151,872
4. Step 4: Simplify right side
   111,760x = 23,065,104,384
5. Step 5: Solve for x
   x = 23,065,104,384/111,760
6. Step 6: Final answer
   x = 206,380.68