Finding the Third Proportional to 52,409 and 113,678

Step by Step Solution

1. Step 1: Write the proportion equation
   52,409 : 113,678 = 113,678 : x
2. Step 2: Convert to fraction form
   52,409/113,678 = 113,678/x
3. Step 3: Cross multiply
   52,409x = 113,678 × 113,678
4. Step 4: Simplify right side
   52,409x = 12,922,687,684
5. Step 5: Solve for x
   x = 12,922,687,684/52,409
6. Step 6: Final answer
   x = 246,573.83