Finding the Third Proportional to 50,856 and 105,246

Step by Step Solution

1. Step 1: Write the proportion equation
   50,856 : 105,246 = 105,246 : x
2. Step 2: Convert to fraction form
   50,856/105,246 = 105,246/x
3. Step 3: Cross multiply
   50,856x = 105,246 × 105,246
4. Step 4: Simplify right side
   50,856x = 11,076,720,516
5. Step 5: Solve for x
   x = 11,076,720,516/50,856
6. Step 6: Final answer
   x = 217,805.58