Finding the Third Proportional to 259,749 and 414,951.75

Step by Step Solution

1. Step 1: Write the proportion equation
   259,749 : 414,951.75 = 414,951.75 : x
2. Step 2: Convert to fraction form
   259,749/414,951.75 = 414,951.75/x
3. Step 3: Cross multiply
   259,749x = 414,951.75 × 414,951.75
4. Step 4: Simplify right side
   259,749x = 172,184,954,828.06
5. Step 5: Solve for x
   x = 172,184,954,828.06/259,749
6. Step 6: Final answer
   x = 662,889.77