Finding the Third Proportional to 381,810,257,342 and 574,309,443,658

Step by Step Solution

1. Step 1: Write the proportion equation
   381,810,257,342 : 574,309,443,658 = 574,309,443,658 : x
2. Step 2: Convert to fraction form
   381,810,257,342/574,309,443,658 = 574,309,443,658/x
3. Step 3: Cross multiply
   381,810,257,342x = 574,309,443,658 × 574,309,443,658
4. Step 4: Simplify right side
   381,810,257,342x = 329,831,337,074,761,446,457,344
5. Step 5: Solve for x
   x = 329,831,337,074,761,446,457,344/381,810,257,342
6. Step 6: Final answer
   x = 863,861,907,144.42