Finding the Third Proportional to 52,870 and 116,254

Step by Step Solution

1. Step 1: Write the proportion equation
   52,870 : 116,254 = 116,254 : x
2. Step 2: Convert to fraction form
   52,870/116,254 = 116,254/x
3. Step 3: Cross multiply
   52,870x = 116,254 × 116,254
4. Step 4: Simplify right side
   52,870x = 13,514,992,516
5. Step 5: Solve for x
   x = 13,514,992,516/52,870
6. Step 6: Final answer
   x = 255,626.87