Finding the Third Proportional to 259,183.50 and 405,705

Step by Step Solution

1. Step 1: Write the proportion equation
   259,183.50 : 405,705 = 405,705 : x
2. Step 2: Convert to fraction form
   259,183.50/405,705 = 405,705/x
3. Step 3: Cross multiply
   259,183.50x = 405,705 × 405,705
4. Step 4: Simplify right side
   259,183.50x = 164,596,547,025
5. Step 5: Solve for x
   x = 164,596,547,025/259,183.50
6. Step 6: Final answer
   x = 635,057.97