Finding the Third Proportional to 258,714 and 565,521.75

Step by Step Solution

1. Step 1: Write the proportion equation
   258,714 : 565,521.75 = 565,521.75 : x
2. Step 2: Convert to fraction form
   258,714/565,521.75 = 565,521.75/x
3. Step 3: Cross multiply
   258,714x = 565,521.75 × 565,521.75
4. Step 4: Simplify right side
   258,714x = 319,814,849,723.06
5. Step 5: Solve for x
   x = 319,814,849,723.06/258,714
6. Step 6: Final answer
   x = 1,236,171.41