Finding the Third Proportional to 51,465.75 and 111,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,465.75 : 111,978.75 = 111,978.75 : x
2. Step 2: Convert to fraction form
   51,465.75/111,978.75 = 111,978.75/x
3. Step 3: Cross multiply
   51,465.75x = 111,978.75 × 111,978.75
4. Step 4: Simplify right side
   51,465.75x = 12,539,240,451.56
5. Step 5: Solve for x
   x = 12,539,240,451.56/51,465.75
6. Step 6: Final answer
   x = 243,642.43