Finding the Third Proportional to 234.14 and 341.72

Step by Step Solution

1. Step 1: Write the proportion equation
   234.14 : 341.72 = 341.72 : x
2. Step 2: Convert to fraction form
   234.14/341.72 = 341.72/x
3. Step 3: Cross multiply
   234.14x = 341.72 × 341.72
4. Step 4: Simplify right side
   234.14x = 116,771.70
5. Step 5: Solve for x
   x = 116,771.70/234.14
6. Step 6: Final answer
   x = 498.72