Finding the Third Proportional to 258,514.50 and 386,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,514.50 : 386,227.50 = 386,227.50 : x
2. Step 2: Convert to fraction form
   258,514.50/386,227.50 = 386,227.50/x
3. Step 3: Cross multiply
   258,514.50x = 386,227.50 × 386,227.50
4. Step 4: Simplify right side
   258,514.50x = 149,171,681,756.25
5. Step 5: Solve for x
   x = 149,171,681,756.25/258,514.50
6. Step 6: Final answer
   x = 577,034.10