Finding the Third Proportional to 380,994 and 814,470

Step by Step Solution

1. Step 1: Write the proportion equation
   380,994 : 814,470 = 814,470 : x
2. Step 2: Convert to fraction form
   380,994/814,470 = 814,470/x
3. Step 3: Cross multiply
   380,994x = 814,470 × 814,470
4. Step 4: Simplify right side
   380,994x = 663,361,380,900
5. Step 5: Solve for x
   x = 663,361,380,900/380,994
6. Step 6: Final answer
   x = 1,741,133.41