Finding the Third Proportional to 262,354.50 and 395,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,354.50 : 395,380.50 = 395,380.50 : x
2. Step 2: Convert to fraction form
   262,354.50/395,380.50 = 395,380.50/x
3. Step 3: Cross multiply
   262,354.50x = 395,380.50 × 395,380.50
4. Step 4: Simplify right side
   262,354.50x = 156,325,739,780.25
5. Step 5: Solve for x
   x = 156,325,739,780.25/262,354.50
6. Step 6: Final answer
   x = 595,856.90