Finding the Third Proportional to 47,914 and 104,116

Step by Step Solution

1. Step 1: Write the proportion equation
   47,914 : 104,116 = 104,116 : x
2. Step 2: Convert to fraction form
   47,914/104,116 = 104,116/x
3. Step 3: Cross multiply
   47,914x = 104,116 × 104,116
4. Step 4: Simplify right side
   47,914x = 10,840,141,456
5. Step 5: Solve for x
   x = 10,840,141,456/47,914
6. Step 6: Final answer
   x = 226,241.63