Finding the Third Proportional to 258,138 and 566,138.25

Step by Step Solution

1. Step 1: Write the proportion equation
   258,138 : 566,138.25 = 566,138.25 : x
2. Step 2: Convert to fraction form
   258,138/566,138.25 = 566,138.25/x
3. Step 3: Cross multiply
   258,138x = 566,138.25 × 566,138.25
4. Step 4: Simplify right side
   258,138x = 320,512,518,113.06
5. Step 5: Solve for x
   x = 320,512,518,113.06/258,138
6. Step 6: Final answer
   x = 1,241,632.45