Finding the Third Proportional to 401.75 and 830.38

Step by Step Solution

1. Step 1: Write the proportion equation
   401.75 : 830.38 = 830.38 : x
2. Step 2: Convert to fraction form
   401.75/830.38 = 830.38/x
3. Step 3: Cross multiply
   401.75x = 830.38 × 830.38
4. Step 4: Simplify right side
   401.75x = 689,522.64
5. Step 5: Solve for x
   x = 689,522.64/401.75
6. Step 6: Final answer
   x = 1,716.30