Finding the Third Proportional to 378,885 and 585,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,885 : 585,214.50 = 585,214.50 : x
2. Step 2: Convert to fraction form
   378,885/585,214.50 = 585,214.50/x
3. Step 3: Cross multiply
   378,885x = 585,214.50 × 585,214.50
4. Step 4: Simplify right side
   378,885x = 342,476,011,010.25
5. Step 5: Solve for x
   x = 342,476,011,010.25/378,885
6. Step 6: Final answer
   x = 903,904.91