Finding the Third Proportional to 379,760 and 896,456

Step by Step Solution

1. Step 1: Write the proportion equation
   379,760 : 896,456 = 896,456 : x
2. Step 2: Convert to fraction form
   379,760/896,456 = 896,456/x
3. Step 3: Cross multiply
   379,760x = 896,456 × 896,456
4. Step 4: Simplify right side
   379,760x = 803,633,359,936
5. Step 5: Solve for x
   x = 803,633,359,936/379,760
6. Step 6: Final answer
   x = 2,116,161.15