Finding the Third Proportional to 65,286 and 142,740

Step by Step Solution

1. Step 1: Write the proportion equation
   65,286 : 142,740 = 142,740 : x
2. Step 2: Convert to fraction form
   65,286/142,740 = 142,740/x
3. Step 3: Cross multiply
   65,286x = 142,740 × 142,740
4. Step 4: Simplify right side
   65,286x = 20,374,707,600
5. Step 5: Solve for x
   x = 20,374,707,600/65,286
6. Step 6: Final answer
   x = 312,083.87