Finding the Third Proportional to 65,942 and 146,626

Step by Step Solution

1. Step 1: Write the proportion equation
   65,942 : 146,626 = 146,626 : x
2. Step 2: Convert to fraction form
   65,942/146,626 = 146,626/x
3. Step 3: Cross multiply
   65,942x = 146,626 × 146,626
4. Step 4: Simplify right side
   65,942x = 21,499,183,876
5. Step 5: Solve for x
   x = 21,499,183,876/65,942
6. Step 6: Final answer
   x = 326,031.72