Finding the Third Proportional to 462.56 and 548.06

Step by Step Solution

1. Step 1: Write the proportion equation
   462.56 : 548.06 = 548.06 : x
2. Step 2: Convert to fraction form
   462.56/548.06 = 548.06/x
3. Step 3: Cross multiply
   462.56x = 548.06 × 548.06
4. Step 4: Simplify right side
   462.56x = 300,372.50
5. Step 5: Solve for x
   x = 300,372.50/462.56
6. Step 6: Final answer
   x = 649.37