Finding the Third Proportional to 258,948 and 412,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,948 : 412,213.50 = 412,213.50 : x
2. Step 2: Convert to fraction form
   258,948/412,213.50 = 412,213.50/x
3. Step 3: Cross multiply
   258,948x = 412,213.50 × 412,213.50
4. Step 4: Simplify right side
   258,948x = 169,919,969,582.25
5. Step 5: Solve for x
   x = 169,919,969,582.25/258,948
6. Step 6: Final answer
   x = 656,193.40