Finding the Third Proportional to 180,582 and 280,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,582 : 280,003.50 = 280,003.50 : x
2. Step 2: Convert to fraction form
   180,582/280,003.50 = 280,003.50/x
3. Step 3: Cross multiply
   180,582x = 280,003.50 × 280,003.50
4. Step 4: Simplify right side
   180,582x = 78,401,960,012.25
5. Step 5: Solve for x
   x = 78,401,960,012.25/180,582
6. Step 6: Final answer
   x = 434,162.65