Finding the Third Proportional to 381,735,321,152.62 and 830,491,970,631.15

Step by Step Solution

1. Step 1: Write the proportion equation
   381,735,321,152.62 : 830,491,970,631.15 = 830,491,970,631.15 : x
2. Step 2: Convert to fraction form
   381,735,321,152.62/830,491,970,631.15 = 830,491,970,631.15/x
3. Step 3: Cross multiply
   381,735,321,152.62x = 830,491,970,631.15 × 830,491,970,631.15
4. Step 4: Simplify right side
   381,735,321,152.62x = 689,716,913,282,810,975,879,168
5. Step 5: Solve for x
   x = 689,716,913,282,810,975,879,168/381,735,321,152.62
6. Step 6: Final answer
   x = 1,806,793,542,709.81