Finding the Third Proportional to 65,682 and 144,072

Step by Step Solution

1. Step 1: Write the proportion equation
   65,682 : 144,072 = 144,072 : x
2. Step 2: Convert to fraction form
   65,682/144,072 = 144,072/x
3. Step 3: Cross multiply
   65,682x = 144,072 × 144,072
4. Step 4: Simplify right side
   65,682x = 20,756,741,184
5. Step 5: Solve for x
   x = 20,756,741,184/65,682
6. Step 6: Final answer
   x = 316,018.71