Finding the Third Proportional to 145,096 and 212,676

Step by Step Solution

1. Step 1: Write the proportion equation
   145,096 : 212,676 = 212,676 : x
2. Step 2: Convert to fraction form
   145,096/212,676 = 212,676/x
3. Step 3: Cross multiply
   145,096x = 212,676 × 212,676
4. Step 4: Simplify right side
   145,096x = 45,231,080,976
5. Step 5: Solve for x
   x = 45,231,080,976/145,096
6. Step 6: Final answer
   x = 311,732.10