Finding the Third Proportional to 65,586 and 141,540

Step by Step Solution

1. Step 1: Write the proportion equation
   65,586 : 141,540 = 141,540 : x
2. Step 2: Convert to fraction form
   65,586/141,540 = 141,540/x
3. Step 3: Cross multiply
   65,586x = 141,540 × 141,540
4. Step 4: Simplify right side
   65,586x = 20,033,571,600
5. Step 5: Solve for x
   x = 20,033,571,600/65,586
6. Step 6: Final answer
   x = 305,455.00