Finding the Third Proportional to 401.75 and 710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401.75 : 710.50 = 710.50 : x
2. Step 2: Convert to fraction form
   401.75/710.50 = 710.50/x
3. Step 3: Cross multiply
   401.75x = 710.50 × 710.50
4. Step 4: Simplify right side
   401.75x = 504,810.25
5. Step 5: Solve for x
   x = 504,810.25/401.75
6. Step 6: Final answer
   x = 1,256.53