Finding the Third Proportional to 407.25 and 610.31

Step by Step Solution

1. Step 1: Write the proportion equation
   407.25 : 610.31 = 610.31 : x
2. Step 2: Convert to fraction form
   407.25/610.31 = 610.31/x
3. Step 3: Cross multiply
   407.25x = 610.31 × 610.31
4. Step 4: Simplify right side
   407.25x = 372,481.35
5. Step 5: Solve for x
   x = 372,481.35/407.25
6. Step 6: Final answer
   x = 914.63