Finding the Third Proportional to 378,861 and 585,180

Step by Step Solution

1. Step 1: Write the proportion equation
   378,861 : 585,180 = 585,180 : x
2. Step 2: Convert to fraction form
   378,861/585,180 = 585,180/x
3. Step 3: Cross multiply
   378,861x = 585,180 × 585,180
4. Step 4: Simplify right side
   378,861x = 342,435,632,400
5. Step 5: Solve for x
   x = 342,435,632,400/378,861
6. Step 6: Final answer
   x = 903,855.59