Finding the Third Proportional to 405,693 and 865,665

Step by Step Solution

1. Step 1: Write the proportion equation
   405,693 : 865,665 = 865,665 : x
2. Step 2: Convert to fraction form
   405,693/865,665 = 865,665/x
3. Step 3: Cross multiply
   405,693x = 865,665 × 865,665
4. Step 4: Simplify right side
   405,693x = 749,375,892,225
5. Step 5: Solve for x
   x = 749,375,892,225/405,693
6. Step 6: Final answer
   x = 1,847,150.17