Finding the Third Proportional to 65,601 and 135,870

Step by Step Solution

1. Step 1: Write the proportion equation
   65,601 : 135,870 = 135,870 : x
2. Step 2: Convert to fraction form
   65,601/135,870 = 135,870/x
3. Step 3: Cross multiply
   65,601x = 135,870 × 135,870
4. Step 4: Simplify right side
   65,601x = 18,460,656,900
5. Step 5: Solve for x
   x = 18,460,656,900/65,601
6. Step 6: Final answer
   x = 281,408.16