Finding the Third Proportional to 185,522 and 280,002

Step by Step Solution

1. Step 1: Write the proportion equation
   185,522 : 280,002 = 280,002 : x
2. Step 2: Convert to fraction form
   185,522/280,002 = 280,002/x
3. Step 3: Cross multiply
   185,522x = 280,002 × 280,002
4. Step 4: Simplify right side
   185,522x = 78,401,120,004
5. Step 5: Solve for x
   x = 78,401,120,004/185,522
6. Step 6: Final answer
   x = 422,597.43