Finding the Third Proportional to 470,414 and 1,034,469

Step by Step Solution

1. Step 1: Write the proportion equation
   470,414 : 1,034,469 = 1,034,469 : x
2. Step 2: Convert to fraction form
   470,414/1,034,469 = 1,034,469/x
3. Step 3: Cross multiply
   470,414x = 1,034,469 × 1,034,469
4. Step 4: Simplify right side
   470,414x = 1,070,126,111,961
5. Step 5: Solve for x
   x = 1,070,126,111,961/470,414
6. Step 6: Final answer
   x = 2,274,860.25