Finding the Third Proportional to 49,147 and 105,305

Step by Step Solution

1. Step 1: Write the proportion equation
   49,147 : 105,305 = 105,305 : x
2. Step 2: Convert to fraction form
   49,147/105,305 = 105,305/x
3. Step 3: Cross multiply
   49,147x = 105,305 × 105,305
4. Step 4: Simplify right side
   49,147x = 11,089,143,025
5. Step 5: Solve for x
   x = 11,089,143,025/49,147
6. Step 6: Final answer
   x = 225,632.14