Finding the Third Proportional to 383,770 and 814,308

Step by Step Solution

1. Step 1: Write the proportion equation
   383,770 : 814,308 = 814,308 : x
2. Step 2: Convert to fraction form
   383,770/814,308 = 814,308/x
3. Step 3: Cross multiply
   383,770x = 814,308 × 814,308
4. Step 4: Simplify right side
   383,770x = 663,097,518,864
5. Step 5: Solve for x
   x = 663,097,518,864/383,770
6. Step 6: Final answer
   x = 1,727,851.37