Finding the Third Proportional to 65,891 and 141,788

Step by Step Solution

1. Step 1: Write the proportion equation
   65,891 : 141,788 = 141,788 : x
2. Step 2: Convert to fraction form
   65,891/141,788 = 141,788/x
3. Step 3: Cross multiply
   65,891x = 141,788 × 141,788
4. Step 4: Simplify right side
   65,891x = 20,103,836,944
5. Step 5: Solve for x
   x = 20,103,836,944/65,891
6. Step 6: Final answer
   x = 305,107.48