Finding the Third Proportional to 47,184 and 111,228

Step by Step Solution

1. Step 1: Write the proportion equation
   47,184 : 111,228 = 111,228 : x
2. Step 2: Convert to fraction form
   47,184/111,228 = 111,228/x
3. Step 3: Cross multiply
   47,184x = 111,228 × 111,228
4. Step 4: Simplify right side
   47,184x = 12,371,667,984
5. Step 5: Solve for x
   x = 12,371,667,984/47,184
6. Step 6: Final answer
   x = 262,200.49