Finding the Third Proportional to 52,684 and 114,152

Step by Step Solution

1. Step 1: Write the proportion equation
   52,684 : 114,152 = 114,152 : x
2. Step 2: Convert to fraction form
   52,684/114,152 = 114,152/x
3. Step 3: Cross multiply
   52,684x = 114,152 × 114,152
4. Step 4: Simplify right side
   52,684x = 13,030,679,104
5. Step 5: Solve for x
   x = 13,030,679,104/52,684
6. Step 6: Final answer
   x = 247,336.56