Finding the Third Proportional to 65,887 and 141,780

Step by Step Solution

1. Step 1: Write the proportion equation
   65,887 : 141,780 = 141,780 : x
2. Step 2: Convert to fraction form
   65,887/141,780 = 141,780/x
3. Step 3: Cross multiply
   65,887x = 141,780 × 141,780
4. Step 4: Simplify right side
   65,887x = 20,101,568,400
5. Step 5: Solve for x
   x = 20,101,568,400/65,887
6. Step 6: Final answer
   x = 305,091.57