Finding the Third Proportional to 405,645.75 and 865,584

Step by Step Solution

1. Step 1: Write the proportion equation
   405,645.75 : 865,584 = 865,584 : x
2. Step 2: Convert to fraction form
   405,645.75/865,584 = 865,584/x
3. Step 3: Cross multiply
   405,645.75x = 865,584 × 865,584
4. Step 4: Simplify right side
   405,645.75x = 749,235,661,056
5. Step 5: Solve for x
   x = 749,235,661,056/405,645.75
6. Step 6: Final answer
   x = 1,847,019.63