Finding the Third Proportional to 50,311 and 104,789

Step by Step Solution

1. Step 1: Write the proportion equation
   50,311 : 104,789 = 104,789 : x
2. Step 2: Convert to fraction form
   50,311/104,789 = 104,789/x
3. Step 3: Cross multiply
   50,311x = 104,789 × 104,789
4. Step 4: Simplify right side
   50,311x = 10,980,734,521
5. Step 5: Solve for x
   x = 10,980,734,521/50,311
6. Step 6: Final answer
   x = 218,257.13