Finding the Third Proportional to 49,005.75 and 106,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,005.75 : 106,309.50 = 106,309.50 : x
2. Step 2: Convert to fraction form
   49,005.75/106,309.50 = 106,309.50/x
3. Step 3: Cross multiply
   49,005.75x = 106,309.50 × 106,309.50
4. Step 4: Simplify right side
   49,005.75x = 11,301,709,790.25
5. Step 5: Solve for x
   x = 11,301,709,790.25/49,005.75
6. Step 6: Final answer
   x = 230,620.08