Finding the Third Proportional to 380,984 and 814,456

Step by Step Solution

1. Step 1: Write the proportion equation
   380,984 : 814,456 = 814,456 : x
2. Step 2: Convert to fraction form
   380,984/814,456 = 814,456/x
3. Step 3: Cross multiply
   380,984x = 814,456 × 814,456
4. Step 4: Simplify right side
   380,984x = 663,338,575,936
5. Step 5: Solve for x
   x = 663,338,575,936/380,984
6. Step 6: Final answer
   x = 1,741,119.25