Finding the Third Proportional to 65,406 and 145,616

Step by Step Solution

1. Step 1: Write the proportion equation
   65,406 : 145,616 = 145,616 : x
2. Step 2: Convert to fraction form
   65,406/145,616 = 145,616/x
3. Step 3: Cross multiply
   65,406x = 145,616 × 145,616
4. Step 4: Simplify right side
   65,406x = 21,204,019,456
5. Step 5: Solve for x
   x = 21,204,019,456/65,406
6. Step 6: Final answer
   x = 324,190.74