Finding the Third Proportional to 385,830 and 800,766

Step by Step Solution

1. Step 1: Write the proportion equation
   385,830 : 800,766 = 800,766 : x
2. Step 2: Convert to fraction form
   385,830/800,766 = 800,766/x
3. Step 3: Cross multiply
   385,830x = 800,766 × 800,766
4. Step 4: Simplify right side
   385,830x = 641,226,186,756
5. Step 5: Solve for x
   x = 641,226,186,756/385,830
6. Step 6: Final answer
   x = 1,661,939.68