Finding the Third Proportional to 258,933 and 387,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,933 : 387,319.50 = 387,319.50 : x
2. Step 2: Convert to fraction form
   258,933/387,319.50 = 387,319.50/x
3. Step 3: Cross multiply
   258,933x = 387,319.50 × 387,319.50
4. Step 4: Simplify right side
   258,933x = 150,016,395,080.25
5. Step 5: Solve for x
   x = 150,016,395,080.25/258,933
6. Step 6: Final answer
   x = 579,363.75