Finding the Third Proportional to 123,729 and 271,105

Step by Step Solution

1. Step 1: Write the proportion equation
   123,729 : 271,105 = 271,105 : x
2. Step 2: Convert to fraction form
   123,729/271,105 = 271,105/x
3. Step 3: Cross multiply
   123,729x = 271,105 × 271,105
4. Step 4: Simplify right side
   123,729x = 73,497,921,025
5. Step 5: Solve for x
   x = 73,497,921,025/123,729
6. Step 6: Final answer
   x = 594,023.40