Finding the Third Proportional to 65,780 and 144,682

Step by Step Solution

1. Step 1: Write the proportion equation
   65,780 : 144,682 = 144,682 : x
2. Step 2: Convert to fraction form
   65,780/144,682 = 144,682/x
3. Step 3: Cross multiply
   65,780x = 144,682 × 144,682
4. Step 4: Simplify right side
   65,780x = 20,932,881,124
5. Step 5: Solve for x
   x = 20,932,881,124/65,780
6. Step 6: Final answer
   x = 318,225.62