Finding the Third Proportional to 52,684 and 114,836

Step by Step Solution

1. Step 1: Write the proportion equation
   52,684 : 114,836 = 114,836 : x
2. Step 2: Convert to fraction form
   52,684/114,836 = 114,836/x
3. Step 3: Cross multiply
   52,684x = 114,836 × 114,836
4. Step 4: Simplify right side
   52,684x = 13,187,306,896
5. Step 5: Solve for x
   x = 13,187,306,896/52,684
6. Step 6: Final answer
   x = 250,309.52