Finding the Third Proportional to 65,019 and 141,945

Step by Step Solution

1. Step 1: Write the proportion equation
   65,019 : 141,945 = 141,945 : x
2. Step 2: Convert to fraction form
   65,019/141,945 = 141,945/x
3. Step 3: Cross multiply
   65,019x = 141,945 × 141,945
4. Step 4: Simplify right side
   65,019x = 20,148,383,025
5. Step 5: Solve for x
   x = 20,148,383,025/65,019
6. Step 6: Final answer
   x = 309,884.54