Finding the Third Proportional to 401.81 and 870.38

Step by Step Solution

1. Step 1: Write the proportion equation
   401.81 : 870.38 = 870.38 : x
2. Step 2: Convert to fraction form
   401.81/870.38 = 870.38/x
3. Step 3: Cross multiply
   401.81x = 870.38 × 870.38
4. Step 4: Simplify right side
   401.81x = 757,552.64
5. Step 5: Solve for x
   x = 757,552.64/401.81
6. Step 6: Final answer
   x = 1,885.34