Finding the Third Proportional to 50,858 and 105,250

Step by Step Solution

1. Step 1: Write the proportion equation
   50,858 : 105,250 = 105,250 : x
2. Step 2: Convert to fraction form
   50,858/105,250 = 105,250/x
3. Step 3: Cross multiply
   50,858x = 105,250 × 105,250
4. Step 4: Simplify right side
   50,858x = 11,077,562,500
5. Step 5: Solve for x
   x = 11,077,562,500/50,858
6. Step 6: Final answer
   x = 217,813.57