Finding the Third Proportional to 381,735,321,158 and 830,491,970,642

Step by Step Solution

1. Step 1: Write the proportion equation
   381,735,321,158 : 830,491,970,642 = 830,491,970,642 : x
2. Step 2: Convert to fraction form
   381,735,321,158/830,491,970,642 = 830,491,970,642/x
3. Step 3: Cross multiply
   381,735,321,158x = 830,491,970,642 × 830,491,970,642
4. Step 4: Simplify right side
   381,735,321,158x = 689,716,913,300,832,524,435,456
5. Step 5: Solve for x
   x = 689,716,913,300,832,524,435,456/381,735,321,158
6. Step 6: Final answer
   x = 1,806,793,542,731.56