Finding the Third Proportional to 65,742 and 144,084

Step by Step Solution

1. Step 1: Write the proportion equation
   65,742 : 144,084 = 144,084 : x
2. Step 2: Convert to fraction form
   65,742/144,084 = 144,084/x
3. Step 3: Cross multiply
   65,742x = 144,084 × 144,084
4. Step 4: Simplify right side
   65,742x = 20,760,199,056
5. Step 5: Solve for x
   x = 20,760,199,056/65,742
6. Step 6: Final answer
   x = 315,782.89