Finding the Third Proportional to 111,512 and 179,551

Step by Step Solution

1. Step 1: Write the proportion equation
   111,512 : 179,551 = 179,551 : x
2. Step 2: Convert to fraction form
   111,512/179,551 = 179,551/x
3. Step 3: Cross multiply
   111,512x = 179,551 × 179,551
4. Step 4: Simplify right side
   111,512x = 32,238,561,601
5. Step 5: Solve for x
   x = 32,238,561,601/111,512
6. Step 6: Final answer
   x = 289,103.97