Finding the Third Proportional to 259,812 and 413,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,812 : 413,728.50 = 413,728.50 : x
2. Step 2: Convert to fraction form
   259,812/413,728.50 = 413,728.50/x
3. Step 3: Cross multiply
   259,812x = 413,728.50 × 413,728.50
4. Step 4: Simplify right side
   259,812x = 171,171,271,712.25
5. Step 5: Solve for x
   x = 171,171,271,712.25/259,812
6. Step 6: Final answer
   x = 658,827.43