Finding the Third Proportional to 49,288.50 and 111,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,288.50 : 111,739.50 = 111,739.50 : x
2. Step 2: Convert to fraction form
   49,288.50/111,739.50 = 111,739.50/x
3. Step 3: Cross multiply
   49,288.50x = 111,739.50 × 111,739.50
4. Step 4: Simplify right side
   49,288.50x = 12,485,715,860.25
5. Step 5: Solve for x
   x = 12,485,715,860.25/49,288.50
6. Step 6: Final answer
   x = 253,319.05