Finding the Third Proportional to 400.50 and 873.38

Step by Step Solution

1. Step 1: Write the proportion equation
   400.50 : 873.38 = 873.38 : x
2. Step 2: Convert to fraction form
   400.50/873.38 = 873.38/x
3. Step 3: Cross multiply
   400.50x = 873.38 × 873.38
4. Step 4: Simplify right side
   400.50x = 762,783.89
5. Step 5: Solve for x
   x = 762,783.89/400.50
6. Step 6: Final answer
   x = 1,904.58