Finding the Third Proportional to 258,849 and 397,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,849 : 397,315.50 = 397,315.50 : x
2. Step 2: Convert to fraction form
   258,849/397,315.50 = 397,315.50/x
3. Step 3: Cross multiply
   258,849x = 397,315.50 × 397,315.50
4. Step 4: Simplify right side
   258,849x = 157,859,606,540.25
5. Step 5: Solve for x
   x = 157,859,606,540.25/258,849
6. Step 6: Final answer
   x = 609,852.10