Finding the Third Proportional to 300,401,503,262 and 636,617,878,396

Step by Step Solution

1. Step 1: Write the proportion equation
   300,401,503,262 : 636,617,878,396 = 636,617,878,396 : x
2. Step 2: Convert to fraction form
   300,401,503,262/636,617,878,396 = 636,617,878,396/x
3. Step 3: Cross multiply
   300,401,503,262x = 636,617,878,396 × 636,617,878,396
4. Step 4: Simplify right side
   300,401,503,262x = 405,282,323,093,424,233,775,104
5. Step 5: Solve for x
   x = 405,282,323,093,424,233,775,104/300,401,503,262
6. Step 6: Final answer
   x = 1,349,135,469,338.68