Finding the Third Proportional to 82,452 and 182,760

Step by Step Solution

1. Step 1: Write the proportion equation
   82,452 : 182,760 = 182,760 : x
2. Step 2: Convert to fraction form
   82,452/182,760 = 182,760/x
3. Step 3: Cross multiply
   82,452x = 182,760 × 182,760
4. Step 4: Simplify right side
   82,452x = 33,401,217,600
5. Step 5: Solve for x
   x = 33,401,217,600/82,452
6. Step 6: Final answer
   x = 405,098.94