Finding the Third Proportional to 51,862 and 113,578

Step by Step Solution

1. Step 1: Write the proportion equation
   51,862 : 113,578 = 113,578 : x
2. Step 2: Convert to fraction form
   51,862/113,578 = 113,578/x
3. Step 3: Cross multiply
   51,862x = 113,578 × 113,578
4. Step 4: Simplify right side
   51,862x = 12,899,962,084
5. Step 5: Solve for x
   x = 12,899,962,084/51,862
6. Step 6: Final answer
   x = 248,736.30