Finding the Third Proportional to 52,131 and 113,823

Step by Step Solution

1. Step 1: Write the proportion equation
   52,131 : 113,823 = 113,823 : x
2. Step 2: Convert to fraction form
   52,131/113,823 = 113,823/x
3. Step 3: Cross multiply
   52,131x = 113,823 × 113,823
4. Step 4: Simplify right side
   52,131x = 12,955,675,329
5. Step 5: Solve for x
   x = 12,955,675,329/52,131
6. Step 6: Final answer
   x = 248,521.52