Finding the Third Proportional to 52,378 and 113,864

Step by Step Solution

1. Step 1: Write the proportion equation
   52,378 : 113,864 = 113,864 : x
2. Step 2: Convert to fraction form
   52,378/113,864 = 113,864/x
3. Step 3: Cross multiply
   52,378x = 113,864 × 113,864
4. Step 4: Simplify right side
   52,378x = 12,965,010,496
5. Step 5: Solve for x
   x = 12,965,010,496/52,378
6. Step 6: Final answer
   x = 247,527.79