Finding the Third Proportional to 47,172 and 111,198

Step by Step Solution

1. Step 1: Write the proportion equation
   47,172 : 111,198 = 111,198 : x
2. Step 2: Convert to fraction form
   47,172/111,198 = 111,198/x
3. Step 3: Cross multiply
   47,172x = 111,198 × 111,198
4. Step 4: Simplify right side
   47,172x = 12,364,995,204
5. Step 5: Solve for x
   x = 12,364,995,204/47,172
6. Step 6: Final answer
   x = 262,125.74