Finding the Third Proportional to 51,789 and 113,460

Step by Step Solution

1. Step 1: Write the proportion equation
   51,789 : 113,460 = 113,460 : x
2. Step 2: Convert to fraction form
   51,789/113,460 = 113,460/x
3. Step 3: Cross multiply
   51,789x = 113,460 × 113,460
4. Step 4: Simplify right side
   51,789x = 12,873,171,600
5. Step 5: Solve for x
   x = 12,873,171,600/51,789
6. Step 6: Final answer
   x = 248,569.61