Finding the Third Proportional to 49,936.50 and 106,980.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,936.50 : 106,980.75 = 106,980.75 : x
2. Step 2: Convert to fraction form
   49,936.50/106,980.75 = 106,980.75/x
3. Step 3: Cross multiply
   49,936.50x = 106,980.75 × 106,980.75
4. Step 4: Simplify right side
   49,936.50x = 11,444,880,870.56
5. Step 5: Solve for x
   x = 11,444,880,870.56/49,936.50
6. Step 6: Final answer
   x = 229,188.69