Finding the Third Proportional to 51,678 and 111,615

Step by Step Solution

1. Step 1: Write the proportion equation
   51,678 : 111,615 = 111,615 : x
2. Step 2: Convert to fraction form
   51,678/111,615 = 111,615/x
3. Step 3: Cross multiply
   51,678x = 111,615 × 111,615
4. Step 4: Simplify right side
   51,678x = 12,457,908,225
5. Step 5: Solve for x
   x = 12,457,908,225/51,678
6. Step 6: Final answer
   x = 241,067.92