Finding the Third Proportional to 65,345 and 143,142

Step by Step Solution

1. Step 1: Write the proportion equation
   65,345 : 143,142 = 143,142 : x
2. Step 2: Convert to fraction form
   65,345/143,142 = 143,142/x
3. Step 3: Cross multiply
   65,345x = 143,142 × 143,142
4. Step 4: Simplify right side
   65,345x = 20,489,632,164
5. Step 5: Solve for x
   x = 20,489,632,164/65,345
6. Step 6: Final answer
   x = 313,560.83