Finding the Third Proportional to 682,057,947,584 and 1,467,562,577,521

Step by Step Solution

1. Step 1: Write the proportion equation
   682,057,947,584 : 1,467,562,577,521 = 1,467,562,577,521 : x
2. Step 2: Convert to fraction form
   682,057,947,584/1,467,562,577,521 = 1,467,562,577,521/x
3. Step 3: Cross multiply
   682,057,947,584x = 1,467,562,577,521 × 1,467,562,577,521
4. Step 4: Simplify right side
   682,057,947,584x = 2,153,739,918,940,081,013,915,648
5. Step 5: Solve for x
   x = 2,153,739,918,940,081,013,915,648/682,057,947,584
6. Step 6: Final answer
   x = 3,157,708,119,330.78