Finding the Third Proportional to 50,305 and 105,506

Step by Step Solution

1. Step 1: Write the proportion equation
   50,305 : 105,506 = 105,506 : x
2. Step 2: Convert to fraction form
   50,305/105,506 = 105,506/x
3. Step 3: Cross multiply
   50,305x = 105,506 × 105,506
4. Step 4: Simplify right side
   50,305x = 11,131,516,036
5. Step 5: Solve for x
   x = 11,131,516,036/50,305
6. Step 6: Final answer
   x = 221,280.51