Finding the Third Proportional to 268,536 and 585,003

Step by Step Solution

1. Step 1: Write the proportion equation
   268,536 : 585,003 = 585,003 : x
2. Step 2: Convert to fraction form
   268,536/585,003 = 585,003/x
3. Step 3: Cross multiply
   268,536x = 585,003 × 585,003
4. Step 4: Simplify right side
   268,536x = 342,228,510,009
5. Step 5: Solve for x
   x = 342,228,510,009/268,536
6. Step 6: Final answer
   x = 1,274,423.21