Finding the Third Proportional to 381,735,321,145.50 and 830,491,970,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,735,321,145.50 : 830,491,970,617.50 = 830,491,970,617.50 : x
2. Step 2: Convert to fraction form
   381,735,321,145.50/830,491,970,617.50 = 830,491,970,617.50/x
3. Step 3: Cross multiply
   381,735,321,145.50x = 830,491,970,617.50 × 830,491,970,617.50
4. Step 4: Simplify right side
   381,735,321,145.50x = 689,716,913,260,138,514,612,224
5. Step 5: Solve for x
   x = 689,716,913,260,138,514,612,224/381,735,321,145.50
6. Step 6: Final answer
   x = 1,806,793,542,684.12