Finding the Third Proportional to 51,678 and 112,584.94

Step by Step Solution

1. Step 1: Write the proportion equation
   51,678 : 112,584.94 = 112,584.94 : x
2. Step 2: Convert to fraction form
   51,678/112,584.94 = 112,584.94/x
3. Step 3: Cross multiply
   51,678x = 112,584.94 × 112,584.94
4. Step 4: Simplify right side
   51,678x = 12,675,368,151.88
5. Step 5: Solve for x
   x = 12,675,368,151.88/51,678
6. Step 6: Final answer
   x = 245,275.90