Finding the Third Proportional to 49,333 and 106,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,333 : 106,968.50 = 106,968.50 : x
2. Step 2: Convert to fraction form
   49,333/106,968.50 = 106,968.50/x
3. Step 3: Cross multiply
   49,333x = 106,968.50 × 106,968.50
4. Step 4: Simplify right side
   49,333x = 11,442,259,992.25
5. Step 5: Solve for x
   x = 11,442,259,992.25/49,333
6. Step 6: Final answer
   x = 231,939.27