Finding the Third Proportional to 64,843 and 140,760

Step by Step Solution

1. Step 1: Write the proportion equation
   64,843 : 140,760 = 140,760 : x
2. Step 2: Convert to fraction form
   64,843/140,760 = 140,760/x
3. Step 3: Cross multiply
   64,843x = 140,760 × 140,760
4. Step 4: Simplify right side
   64,843x = 19,813,377,600
5. Step 5: Solve for x
   x = 19,813,377,600/64,843
6. Step 6: Final answer
   x = 305,559.24