Finding the Third Proportional to 123,826 and 271,386

Step by Step Solution

1. Step 1: Write the proportion equation
   123,826 : 271,386 = 271,386 : x
2. Step 2: Convert to fraction form
   123,826/271,386 = 271,386/x
3. Step 3: Cross multiply
   123,826x = 271,386 × 271,386
4. Step 4: Simplify right side
   123,826x = 73,650,360,996
5. Step 5: Solve for x
   x = 73,650,360,996/123,826
6. Step 6: Final answer
   x = 594,789.15