Finding the Third Proportional to 676,944 and 1,470,420

Step by Step Solution

1. Step 1: Write the proportion equation
   676,944 : 1,470,420 = 1,470,420 : x
2. Step 2: Convert to fraction form
   676,944/1,470,420 = 1,470,420/x
3. Step 3: Cross multiply
   676,944x = 1,470,420 × 1,470,420
4. Step 4: Simplify right side
   676,944x = 2,162,134,976,400
5. Step 5: Solve for x
   x = 2,162,134,976,400/676,944
6. Step 6: Final answer
   x = 3,193,964.31