Finding the Third Proportional to 82,138 and 179,018

Step by Step Solution

1. Step 1: Write the proportion equation
   82,138 : 179,018 = 179,018 : x
2. Step 2: Convert to fraction form
   82,138/179,018 = 179,018/x
3. Step 3: Cross multiply
   82,138x = 179,018 × 179,018
4. Step 4: Simplify right side
   82,138x = 32,047,444,324
5. Step 5: Solve for x
   x = 32,047,444,324/82,138
6. Step 6: Final answer
   x = 390,165.87