Finding the Third Proportional to 406.31 and 628.56

Step by Step Solution

1. Step 1: Write the proportion equation
   406.31 : 628.56 = 628.56 : x
2. Step 2: Convert to fraction form
   406.31/628.56 = 628.56/x
3. Step 3: Cross multiply
   406.31x = 628.56 × 628.56
4. Step 4: Simplify right side
   406.31x = 395,090.82
5. Step 5: Solve for x
   x = 395,090.82/406.31
6. Step 6: Final answer
   x = 972.38