Finding the Third Proportional to 51,921 and 111,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,921 : 111,739.50 = 111,739.50 : x
2. Step 2: Convert to fraction form
   51,921/111,739.50 = 111,739.50/x
3. Step 3: Cross multiply
   51,921x = 111,739.50 × 111,739.50
4. Step 4: Simplify right side
   51,921x = 12,485,715,860.25
5. Step 5: Solve for x
   x = 12,485,715,860.25/51,921
6. Step 6: Final answer
   x = 240,475.26