Finding the Third Proportional to 379,760 and 819,564

Step by Step Solution

1. Step 1: Write the proportion equation
   379,760 : 819,564 = 819,564 : x
2. Step 2: Convert to fraction form
   379,760/819,564 = 819,564/x
3. Step 3: Cross multiply
   379,760x = 819,564 × 819,564
4. Step 4: Simplify right side
   379,760x = 671,685,150,096
5. Step 5: Solve for x
   x = 671,685,150,096/379,760
6. Step 6: Final answer
   x = 1,768,709.58