Finding the Third Proportional to 65,922 and 146,082

Step by Step Solution

1. Step 1: Write the proportion equation
   65,922 : 146,082 = 146,082 : x
2. Step 2: Convert to fraction form
   65,922/146,082 = 146,082/x
3. Step 3: Cross multiply
   65,922x = 146,082 × 146,082
4. Step 4: Simplify right side
   65,922x = 21,339,950,724
5. Step 5: Solve for x
   x = 21,339,950,724/65,922
6. Step 6: Final answer
   x = 323,715.16