Finding the Third Proportional to 330.56 and 434.72

Step by Step Solution

1. Step 1: Write the proportion equation
   330.56 : 434.72 = 434.72 : x
2. Step 2: Convert to fraction form
   330.56/434.72 = 434.72/x
3. Step 3: Cross multiply
   330.56x = 434.72 × 434.72
4. Step 4: Simplify right side
   330.56x = 188,980.39
5. Step 5: Solve for x
   x = 188,980.39/330.56
6. Step 6: Final answer
   x = 571.69