Finding the Third Proportional to 47,084 and 111,166

Step by Step Solution

1. Step 1: Write the proportion equation
   47,084 : 111,166 = 111,166 : x
2. Step 2: Convert to fraction form
   47,084/111,166 = 111,166/x
3. Step 3: Cross multiply
   47,084x = 111,166 × 111,166
4. Step 4: Simplify right side
   47,084x = 12,357,879,556
5. Step 5: Solve for x
   x = 12,357,879,556/47,084
6. Step 6: Final answer
   x = 262,464.52