Finding the Third Proportional to 381,735,321,174 and 830,491,970,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,735,321,174 : 830,491,970,674.50 = 830,491,970,674.50 : x
2. Step 2: Convert to fraction form
   381,735,321,174/830,491,970,674.50 = 830,491,970,674.50/x
3. Step 3: Cross multiply
   381,735,321,174x = 830,491,970,674.50 × 830,491,970,674.50
4. Step 4: Simplify right side
   381,735,321,174x = 689,716,913,354,814,626,201,600
5. Step 5: Solve for x
   x = 689,716,913,354,814,626,201,600/381,735,321,174
6. Step 6: Final answer
   x = 1,806,793,542,797.24