Finding the Third Proportional to 410.75 and 610.38

Step by Step Solution

1. Step 1: Write the proportion equation
   410.75 : 610.38 = 610.38 : x
2. Step 2: Convert to fraction form
   410.75/610.38 = 610.38/x
3. Step 3: Cross multiply
   410.75x = 610.38 × 610.38
4. Step 4: Simplify right side
   410.75x = 372,557.64
5. Step 5: Solve for x
   x = 372,557.64/410.75
6. Step 6: Final answer
   x = 907.02