Finding the Third Proportional to 51,596 and 113,036

Step by Step Solution

1. Step 1: Write the proportion equation
   51,596 : 113,036 = 113,036 : x
2. Step 2: Convert to fraction form
   51,596/113,036 = 113,036/x
3. Step 3: Cross multiply
   51,596x = 113,036 × 113,036
4. Step 4: Simplify right side
   51,596x = 12,777,137,296
5. Step 5: Solve for x
   x = 12,777,137,296/51,596
6. Step 6: Final answer
   x = 247,638.14