Finding the Third Proportional to 400.38 and 870.88

Step by Step Solution

1. Step 1: Write the proportion equation
   400.38 : 870.88 = 870.88 : x
2. Step 2: Convert to fraction form
   400.38/870.88 = 870.88/x
3. Step 3: Cross multiply
   400.38x = 870.88 × 870.88
4. Step 4: Simplify right side
   400.38x = 758,423.27
5. Step 5: Solve for x
   x = 758,423.27/400.38
6. Step 6: Final answer
   x = 1,894.28