Finding the Third Proportional to 52,538 and 113,814

Step by Step Solution

1. Step 1: Write the proportion equation
   52,538 : 113,814 = 113,814 : x
2. Step 2: Convert to fraction form
   52,538/113,814 = 113,814/x
3. Step 3: Cross multiply
   52,538x = 113,814 × 113,814
4. Step 4: Simplify right side
   52,538x = 12,953,626,596
5. Step 5: Solve for x
   x = 12,953,626,596/52,538
6. Step 6: Final answer
   x = 246,557.28