Finding the Third Proportional to 51,750 and 111,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,750 : 111,424.50 = 111,424.50 : x
2. Step 2: Convert to fraction form
   51,750/111,424.50 = 111,424.50/x
3. Step 3: Cross multiply
   51,750x = 111,424.50 × 111,424.50
4. Step 4: Simplify right side
   51,750x = 12,415,419,200.25
5. Step 5: Solve for x
   x = 12,415,419,200.25/51,750
6. Step 6: Final answer
   x = 239,911.48