Finding the Third Proportional to 174,520 and 280,003

Step by Step Solution

1. Step 1: Write the proportion equation
   174,520 : 280,003 = 280,003 : x
2. Step 2: Convert to fraction form
   174,520/280,003 = 280,003/x
3. Step 3: Cross multiply
   174,520x = 280,003 × 280,003
4. Step 4: Simplify right side
   174,520x = 78,401,680,009
5. Step 5: Solve for x
   x = 78,401,680,009/174,520
6. Step 6: Final answer
   x = 449,241.81