Finding the Third Proportional to 435.50 and 892.38

Step by Step Solution

1. Step 1: Write the proportion equation
   435.50 : 892.38 = 892.38 : x
2. Step 2: Convert to fraction form
   435.50/892.38 = 892.38/x
3. Step 3: Cross multiply
   435.50x = 892.38 × 892.38
4. Step 4: Simplify right side
   435.50x = 796,333.14
5. Step 5: Solve for x
   x = 796,333.14/435.50
6. Step 6: Final answer
   x = 1,828.55