Finding the Third Proportional to 47,859 and 111,789

Step by Step Solution

1. Step 1: Write the proportion equation
   47,859 : 111,789 = 111,789 : x
2. Step 2: Convert to fraction form
   47,859/111,789 = 111,789/x
3. Step 3: Cross multiply
   47,859x = 111,789 × 111,789
4. Step 4: Simplify right side
   47,859x = 12,496,780,521
5. Step 5: Solve for x
   x = 12,496,780,521/47,859
6. Step 6: Final answer
   x = 261,116.62