Finding the Third Proportional to 517,082,193 and 1,105,828,002

Step by Step Solution

1. Step 1: Write the proportion equation
   517,082,193 : 1,105,828,002 = 1,105,828,002 : x
2. Step 2: Convert to fraction form
   517,082,193/1,105,828,002 = 1,105,828,002/x
3. Step 3: Cross multiply
   517,082,193x = 1,105,828,002 × 1,105,828,002
4. Step 4: Simplify right side
   517,082,193x = 1,222,855,570,007,312,128
5. Step 5: Solve for x
   x = 1,222,855,570,007,312,128/517,082,193
6. Step 6: Final answer
   x = 2,364,915,262.14