Finding the Third Proportional to 51,900 and 113,848

Step by Step Solution

1. Step 1: Write the proportion equation
   51,900 : 113,848 = 113,848 : x
2. Step 2: Convert to fraction form
   51,900/113,848 = 113,848/x
3. Step 3: Cross multiply
   51,900x = 113,848 × 113,848
4. Step 4: Simplify right side
   51,900x = 12,961,367,104
5. Step 5: Solve for x
   x = 12,961,367,104/51,900
6. Step 6: Final answer
   x = 249,737.32