Finding the Third Proportional to 52,144 and 113,849

Step by Step Solution

1. Step 1: Write the proportion equation
   52,144 : 113,849 = 113,849 : x
2. Step 2: Convert to fraction form
   52,144/113,849 = 113,849/x
3. Step 3: Cross multiply
   52,144x = 113,849 × 113,849
4. Step 4: Simplify right side
   52,144x = 12,961,594,801
5. Step 5: Solve for x
   x = 12,961,594,801/52,144
6. Step 6: Final answer
   x = 248,573.08