Finding the Third Proportional to 259,911 and 413,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,911 : 413,524.50 = 413,524.50 : x
2. Step 2: Convert to fraction form
   259,911/413,524.50 = 413,524.50/x
3. Step 3: Cross multiply
   259,911x = 413,524.50 × 413,524.50
4. Step 4: Simplify right side
   259,911x = 171,002,512,100.25
5. Step 5: Solve for x
   x = 171,002,512,100.25/259,911
6. Step 6: Final answer
   x = 657,927.18