Finding the Third Proportional to 509,595,129,588 and 763,647,259,662

Step by Step Solution

1. Step 1: Write the proportion equation
   509,595,129,588 : 763,647,259,662 = 763,647,259,662 : x
2. Step 2: Convert to fraction form
   509,595,129,588/763,647,259,662 = 763,647,259,662/x
3. Step 3: Cross multiply
   509,595,129,588x = 763,647,259,662 × 763,647,259,662
4. Step 4: Simplify right side
   509,595,129,588x = 583,157,137,189,282,078,785,536
5. Step 5: Solve for x
   x = 583,157,137,189,282,078,785,536/509,595,129,588
6. Step 6: Final answer
   x = 1,144,353,827,833.39