Finding the Third Proportional to 271,460 and 584,993

Step by Step Solution

1. Step 1: Write the proportion equation
   271,460 : 584,993 = 584,993 : x
2. Step 2: Convert to fraction form
   271,460/584,993 = 584,993/x
3. Step 3: Cross multiply
   271,460x = 584,993 × 584,993
4. Step 4: Simplify right side
   271,460x = 342,216,810,049
5. Step 5: Solve for x
   x = 342,216,810,049/271,460
6. Step 6: Final answer
   x = 1,260,652.80