Finding the Third Proportional to 82,452 and 178,024

Step by Step Solution

1. Step 1: Write the proportion equation
   82,452 : 178,024 = 178,024 : x
2. Step 2: Convert to fraction form
   82,452/178,024 = 178,024/x
3. Step 3: Cross multiply
   82,452x = 178,024 × 178,024
4. Step 4: Simplify right side
   82,452x = 31,692,544,576
5. Step 5: Solve for x
   x = 31,692,544,576/82,452
6. Step 6: Final answer
   x = 384,375.69