Finding the Third Proportional to 3,174,414 and 4,768,857

Step by Step Solution

1. Step 1: Write the proportion equation
   3,174,414 : 4,768,857 = 4,768,857 : x
2. Step 2: Convert to fraction form
   3,174,414/4,768,857 = 4,768,857/x
3. Step 3: Cross multiply
   3,174,414x = 4,768,857 × 4,768,857
4. Step 4: Simplify right side
   3,174,414x = 22,741,997,086,449
5. Step 5: Solve for x
   x = 22,741,997,086,449/3,174,414
6. Step 6: Final answer
   x = 7,164,155.99