Finding the Third Proportional to 49,509 and 106,481.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,509 : 106,481.50 = 106,481.50 : x
2. Step 2: Convert to fraction form
   49,509/106,481.50 = 106,481.50/x
3. Step 3: Cross multiply
   49,509x = 106,481.50 × 106,481.50
4. Step 4: Simplify right side
   49,509x = 11,338,309,842.25
5. Step 5: Solve for x
   x = 11,338,309,842.25/49,509
6. Step 6: Final answer
   x = 229,015.13