Finding the Third Proportional to 258,786 and 565,548.75

Step by Step Solution

1. Step 1: Write the proportion equation
   258,786 : 565,548.75 = 565,548.75 : x
2. Step 2: Convert to fraction form
   258,786/565,548.75 = 565,548.75/x
3. Step 3: Cross multiply
   258,786x = 565,548.75 × 565,548.75
4. Step 4: Simplify right side
   258,786x = 319,845,388,626.56
5. Step 5: Solve for x
   x = 319,845,388,626.56/258,786
6. Step 6: Final answer
   x = 1,235,945.49