Finding the Third Proportional to 52,684 and 114,112

Step by Step Solution

1. Step 1: Write the proportion equation
   52,684 : 114,112 = 114,112 : x
2. Step 2: Convert to fraction form
   52,684/114,112 = 114,112/x
3. Step 3: Cross multiply
   52,684x = 114,112 × 114,112
4. Step 4: Simplify right side
   52,684x = 13,021,548,544
5. Step 5: Solve for x
   x = 13,021,548,544/52,684
6. Step 6: Final answer
   x = 247,163.25