Finding the Third Proportional to 65,678 and 146,665

Step by Step Solution

1. Step 1: Write the proportion equation
   65,678 : 146,665 = 146,665 : x
2. Step 2: Convert to fraction form
   65,678/146,665 = 146,665/x
3. Step 3: Cross multiply
   65,678x = 146,665 × 146,665
4. Step 4: Simplify right side
   65,678x = 21,510,622,225
5. Step 5: Solve for x
   x = 21,510,622,225/65,678
6. Step 6: Final answer
   x = 327,516.40