Finding the Third Proportional to 258,710 and 565,510

Step by Step Solution

1. Step 1: Write the proportion equation
   258,710 : 565,510 = 565,510 : x
2. Step 2: Convert to fraction form
   258,710/565,510 = 565,510/x
3. Step 3: Cross multiply
   258,710x = 565,510 × 565,510
4. Step 4: Simplify right side
   258,710x = 319,801,560,100
5. Step 5: Solve for x
   x = 319,801,560,100/258,710
6. Step 6: Final answer
   x = 1,236,139.15