Finding the Third Proportional to 378,879 and 585,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,879 : 585,205.50 = 585,205.50 : x
2. Step 2: Convert to fraction form
   378,879/585,205.50 = 585,205.50/x
3. Step 3: Cross multiply
   378,879x = 585,205.50 × 585,205.50
4. Step 4: Simplify right side
   378,879x = 342,465,477,230.25
5. Step 5: Solve for x
   x = 342,465,477,230.25/378,879
6. Step 6: Final answer
   x = 903,891.42