Finding the Third Proportional to 47,847 and 104,766

Step by Step Solution

1. Step 1: Write the proportion equation
   47,847 : 104,766 = 104,766 : x
2. Step 2: Convert to fraction form
   47,847/104,766 = 104,766/x
3. Step 3: Cross multiply
   47,847x = 104,766 × 104,766
4. Step 4: Simplify right side
   47,847x = 10,975,914,756
5. Step 5: Solve for x
   x = 10,975,914,756/47,847
6. Step 6: Final answer
   x = 229,396.09