Finding the Third Proportional to 72,198 and 111,576

Step by Step Solution

1. Step 1: Write the proportion equation
   72,198 : 111,576 = 111,576 : x
2. Step 2: Convert to fraction form
   72,198/111,576 = 111,576/x
3. Step 3: Cross multiply
   72,198x = 111,576 × 111,576
4. Step 4: Simplify right side
   72,198x = 12,449,203,776
5. Step 5: Solve for x
   x = 12,449,203,776/72,198
6. Step 6: Final answer
   x = 172,431.42