Finding the Third Proportional to 378,243 and 585,650.25

Step by Step Solution

1. Step 1: Write the proportion equation
   378,243 : 585,650.25 = 585,650.25 : x
2. Step 2: Convert to fraction form
   378,243/585,650.25 = 585,650.25/x
3. Step 3: Cross multiply
   378,243x = 585,650.25 × 585,650.25
4. Step 4: Simplify right side
   378,243x = 342,986,215,325.06
5. Step 5: Solve for x
   x = 342,986,215,325.06/378,243
6. Step 6: Final answer
   x = 906,788.00