Finding the Third Proportional to 226.27 and 341.86

Step by Step Solution

1. Step 1: Write the proportion equation
   226.27 : 341.86 = 341.86 : x
2. Step 2: Convert to fraction form
   226.27/341.86 = 341.86/x
3. Step 3: Cross multiply
   226.27x = 341.86 × 341.86
4. Step 4: Simplify right side
   226.27x = 116,867.83
5. Step 5: Solve for x
   x = 116,867.83/226.27
6. Step 6: Final answer
   x = 516.51