Finding the Third Proportional to 258,794 and 563,150

Step by Step Solution

1. Step 1: Write the proportion equation
   258,794 : 563,150 = 563,150 : x
2. Step 2: Convert to fraction form
   258,794/563,150 = 563,150/x
3. Step 3: Cross multiply
   258,794x = 563,150 × 563,150
4. Step 4: Simplify right side
   258,794x = 317,137,922,500
5. Step 5: Solve for x
   x = 317,137,922,500/258,794
6. Step 6: Final answer
   x = 1,225,445.42