Finding the Third Proportional to 50,847 and 105,230

Step by Step Solution

1. Step 1: Write the proportion equation
   50,847 : 105,230 = 105,230 : x
2. Step 2: Convert to fraction form
   50,847/105,230 = 105,230/x
3. Step 3: Cross multiply
   50,847x = 105,230 × 105,230
4. Step 4: Simplify right side
   50,847x = 11,073,352,900
5. Step 5: Solve for x
   x = 11,073,352,900/50,847
6. Step 6: Final answer
   x = 217,777.90