Finding the Third Proportional to 258,768 and 397,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,768 : 397,186.50 = 397,186.50 : x
2. Step 2: Convert to fraction form
   258,768/397,186.50 = 397,186.50/x
3. Step 3: Cross multiply
   258,768x = 397,186.50 × 397,186.50
4. Step 4: Simplify right side
   258,768x = 157,757,115,782.25
5. Step 5: Solve for x
   x = 157,757,115,782.25/258,768
6. Step 6: Final answer
   x = 609,646.93