Finding the Third Proportional to 65,820 and 142,578

Step by Step Solution

1. Step 1: Write the proportion equation
   65,820 : 142,578 = 142,578 : x
2. Step 2: Convert to fraction form
   65,820/142,578 = 142,578/x
3. Step 3: Cross multiply
   65,820x = 142,578 × 142,578
4. Step 4: Simplify right side
   65,820x = 20,328,486,084
5. Step 5: Solve for x
   x = 20,328,486,084/65,820
6. Step 6: Final answer
   x = 308,849.68