Finding the Third Proportional to 258,538 and 540,500

Step by Step Solution

1. Step 1: Write the proportion equation
   258,538 : 540,500 = 540,500 : x
2. Step 2: Convert to fraction form
   258,538/540,500 = 540,500/x
3. Step 3: Cross multiply
   258,538x = 540,500 × 540,500
4. Step 4: Simplify right side
   258,538x = 292,140,250,000
5. Step 5: Solve for x
   x = 292,140,250,000/258,538
6. Step 6: Final answer
   x = 1,129,970.26