Finding the Third Proportional to 258,498 and 565,002

Step by Step Solution

1. Step 1: Write the proportion equation
   258,498 : 565,002 = 565,002 : x
2. Step 2: Convert to fraction form
   258,498/565,002 = 565,002/x
3. Step 3: Cross multiply
   258,498x = 565,002 × 565,002
4. Step 4: Simplify right side
   258,498x = 319,227,260,004
5. Step 5: Solve for x
   x = 319,227,260,004/258,498
6. Step 6: Final answer
   x = 1,234,931.26