Finding the Third Proportional to 52,158 and 114,684

Step by Step Solution

1. Step 1: Write the proportion equation
   52,158 : 114,684 = 114,684 : x
2. Step 2: Convert to fraction form
   52,158/114,684 = 114,684/x
3. Step 3: Cross multiply
   52,158x = 114,684 × 114,684
4. Step 4: Simplify right side
   52,158x = 13,152,419,856
5. Step 5: Solve for x
   x = 13,152,419,856/52,158
6. Step 6: Final answer
   x = 252,164.96