Finding the Third Proportional to 2,001,214 and 2,996,348

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001,214 : 2,996,348 = 2,996,348 : x
2. Step 2: Convert to fraction form
   2,001,214/2,996,348 = 2,996,348/x
3. Step 3: Cross multiply
   2,001,214x = 2,996,348 × 2,996,348
4. Step 4: Simplify right side
   2,001,214x = 8,978,101,337,104
5. Step 5: Solve for x
   x = 8,978,101,337,104/2,001,214
6. Step 6: Final answer
   x = 4,486,327.47