Finding the Third Proportional to 52,718 and 116,234

Step by Step Solution

1. Step 1: Write the proportion equation
   52,718 : 116,234 = 116,234 : x
2. Step 2: Convert to fraction form
   52,718/116,234 = 116,234/x
3. Step 3: Cross multiply
   52,718x = 116,234 × 116,234
4. Step 4: Simplify right side
   52,718x = 13,510,342,756
5. Step 5: Solve for x
   x = 13,510,342,756/52,718
6. Step 6: Final answer
   x = 256,275.71