Finding the Third Proportional to 282,406.50 and 395,003.25

Step by Step Solution

1. Step 1: Write the proportion equation
   282,406.50 : 395,003.25 = 395,003.25 : x
2. Step 2: Convert to fraction form
   282,406.50/395,003.25 = 395,003.25/x
3. Step 3: Cross multiply
   282,406.50x = 395,003.25 × 395,003.25
4. Step 4: Simplify right side
   282,406.50x = 156,027,567,510.56
5. Step 5: Solve for x
   x = 156,027,567,510.56/282,406.50
6. Step 6: Final answer
   x = 552,492.83