Finding the Third Proportional to 51,789 and 113,458

Step by Step Solution

1. Step 1: Write the proportion equation
   51,789 : 113,458 = 113,458 : x
2. Step 2: Convert to fraction form
   51,789/113,458 = 113,458/x
3. Step 3: Cross multiply
   51,789x = 113,458 × 113,458
4. Step 4: Simplify right side
   51,789x = 12,872,717,764
5. Step 5: Solve for x
   x = 12,872,717,764/51,789
6. Step 6: Final answer
   x = 248,560.85