Finding the Third Proportional to 380,983 and 814,452

Step by Step Solution

1. Step 1: Write the proportion equation
   380,983 : 814,452 = 814,452 : x
2. Step 2: Convert to fraction form
   380,983/814,452 = 814,452/x
3. Step 3: Cross multiply
   380,983x = 814,452 × 814,452
4. Step 4: Simplify right side
   380,983x = 663,332,060,304
5. Step 5: Solve for x
   x = 663,332,060,304/380,983
6. Step 6: Final answer
   x = 1,741,106.72