Finding the Third Proportional to 381,735,321,156 and 830,491,970,638

Step by Step Solution

1. Step 1: Write the proportion equation
   381,735,321,156 : 830,491,970,638 = 830,491,970,638 : x
2. Step 2: Convert to fraction form
   381,735,321,156/830,491,970,638 = 830,491,970,638/x
3. Step 3: Cross multiply
   381,735,321,156x = 830,491,970,638 × 830,491,970,638
4. Step 4: Simplify right side
   381,735,321,156x = 689,716,913,294,188,612,681,728
5. Step 5: Solve for x
   x = 689,716,913,294,188,612,681,728/381,735,321,156
6. Step 6: Final answer
   x = 1,806,793,542,723.62