Finding the Third Proportional to 381,735,321,151.50 and 830,491,970,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,735,321,151.50 : 830,491,970,629.50 = 830,491,970,629.50 : x
2. Step 2: Convert to fraction form
   381,735,321,151.50/830,491,970,629.50 = 830,491,970,629.50/x
3. Step 3: Cross multiply
   381,735,321,151.50x = 830,491,970,629.50 × 830,491,970,629.50
4. Step 4: Simplify right side
   381,735,321,151.50x = 689,716,913,280,070,249,873,408
5. Step 5: Solve for x
   x = 689,716,913,280,070,249,873,408/381,735,321,151.50
6. Step 6: Final answer
   x = 1,806,793,542,707.94