Finding the Third Proportional to 500,111,990,826 and 1,072,823,408,726

Step by Step Solution

1. Step 1: Write the proportion equation
   500,111,990,826 : 1,072,823,408,726 = 1,072,823,408,726 : x
2. Step 2: Convert to fraction form
   500,111,990,826/1,072,823,408,726 = 1,072,823,408,726/x
3. Step 3: Cross multiply
   500,111,990,826x = 1,072,823,408,726 × 1,072,823,408,726
4. Step 4: Simplify right side
   500,111,990,826x = 1,150,950,066,310,474,008,363,008
5. Step 5: Solve for x
   x = 1,150,950,066,310,474,008,363,008/500,111,990,826
6. Step 6: Final answer
   x = 2,301,384,664,681.87