Finding the Third Proportional to 258,768 and 565,810

Step by Step Solution

1. Step 1: Write the proportion equation
   258,768 : 565,810 = 565,810 : x
2. Step 2: Convert to fraction form
   258,768/565,810 = 565,810/x
3. Step 3: Cross multiply
   258,768x = 565,810 × 565,810
4. Step 4: Simplify right side
   258,768x = 320,140,956,100
5. Step 5: Solve for x
   x = 320,140,956,100/258,768
6. Step 6: Final answer
   x = 1,237,173.67