Finding the Third Proportional to 1,823,647,419 and 4,300,667,202

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823,647,419 : 4,300,667,202 = 4,300,667,202 : x
2. Step 2: Convert to fraction form
   1,823,647,419/4,300,667,202 = 4,300,667,202/x
3. Step 3: Cross multiply
   1,823,647,419x = 4,300,667,202 × 4,300,667,202
4. Step 4: Simplify right side
   1,823,647,419x = 18,495,738,382,358,507,520
5. Step 5: Solve for x
   x = 18,495,738,382,358,507,520/1,823,647,419
6. Step 6: Final answer
   x = 10,142,167,937.54