Finding the Third Proportional to 321.56 and 432.56

Step by Step Solution

1. Step 1: Write the proportion equation
   321.56 : 432.56 = 432.56 : x
2. Step 2: Convert to fraction form
   321.56/432.56 = 432.56/x
3. Step 3: Cross multiply
   321.56x = 432.56 × 432.56
4. Step 4: Simplify right side
   321.56x = 187,110.32
5. Step 5: Solve for x
   x = 187,110.32/321.56
6. Step 6: Final answer
   x = 581.88