Finding the Third Proportional to 65,723 and 141,795

Step by Step Solution

1. Step 1: Write the proportion equation
   65,723 : 141,795 = 141,795 : x
2. Step 2: Convert to fraction form
   65,723/141,795 = 141,795/x
3. Step 3: Cross multiply
   65,723x = 141,795 × 141,795
4. Step 4: Simplify right side
   65,723x = 20,105,822,025
5. Step 5: Solve for x
   x = 20,105,822,025/65,723
6. Step 6: Final answer
   x = 305,917.59