Finding the Third Proportional to 49,968 and 106,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,968 : 106,409.50 = 106,409.50 : x
2. Step 2: Convert to fraction form
   49,968/106,409.50 = 106,409.50/x
3. Step 3: Cross multiply
   49,968x = 106,409.50 × 106,409.50
4. Step 4: Simplify right side
   49,968x = 11,322,981,690.25
5. Step 5: Solve for x
   x = 11,322,981,690.25/49,968
6. Step 6: Final answer
   x = 226,604.66