Finding the Third Proportional to 82,644 and 179,024

Step by Step Solution

1. Step 1: Write the proportion equation
   82,644 : 179,024 = 179,024 : x
2. Step 2: Convert to fraction form
   82,644/179,024 = 179,024/x
3. Step 3: Cross multiply
   82,644x = 179,024 × 179,024
4. Step 4: Simplify right side
   82,644x = 32,049,592,576
5. Step 5: Solve for x
   x = 32,049,592,576/82,644
6. Step 6: Final answer
   x = 387,803.02