Finding the Third Proportional to 51,978.25 and 113,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978.25 : 113,900.50 = 113,900.50 : x
2. Step 2: Convert to fraction form
   51,978.25/113,900.50 = 113,900.50/x
3. Step 3: Cross multiply
   51,978.25x = 113,900.50 × 113,900.50
4. Step 4: Simplify right side
   51,978.25x = 12,973,323,900.25
5. Step 5: Solve for x
   x = 12,973,323,900.25/51,978.25
6. Step 6: Final answer
   x = 249,591.39