Finding the Third Proportional to 65,840 and 144,182

Step by Step Solution

1. Step 1: Write the proportion equation
   65,840 : 144,182 = 144,182 : x
2. Step 2: Convert to fraction form
   65,840/144,182 = 144,182/x
3. Step 3: Cross multiply
   65,840x = 144,182 × 144,182
4. Step 4: Simplify right side
   65,840x = 20,788,449,124
5. Step 5: Solve for x
   x = 20,788,449,124/65,840
6. Step 6: Final answer
   x = 315,741.94