Finding the Third Proportional to 65,084 and 142,102

Step by Step Solution

1. Step 1: Write the proportion equation
   65,084 : 142,102 = 142,102 : x
2. Step 2: Convert to fraction form
   65,084/142,102 = 142,102/x
3. Step 3: Cross multiply
   65,084x = 142,102 × 142,102
4. Step 4: Simplify right side
   65,084x = 20,192,978,404
5. Step 5: Solve for x
   x = 20,192,978,404/65,084
6. Step 6: Final answer
   x = 310,260.25