Finding the Third Proportional to 396.56 and 428.06

Step by Step Solution

1. Step 1: Write the proportion equation
   396.56 : 428.06 = 428.06 : x
2. Step 2: Convert to fraction form
   396.56/428.06 = 428.06/x
3. Step 3: Cross multiply
   396.56x = 428.06 × 428.06
4. Step 4: Simplify right side
   396.56x = 183,237.50
5. Step 5: Solve for x
   x = 183,237.50/396.56
6. Step 6: Final answer
   x = 462.06