Finding the Third Proportional to 258,740 and 563,040

Step by Step Solution

1. Step 1: Write the proportion equation
   258,740 : 563,040 = 563,040 : x
2. Step 2: Convert to fraction form
   258,740/563,040 = 563,040/x
3. Step 3: Cross multiply
   258,740x = 563,040 × 563,040
4. Step 4: Simplify right side
   258,740x = 317,014,041,600
5. Step 5: Solve for x
   x = 317,014,041,600/258,740
6. Step 6: Final answer
   x = 1,225,222.39