Finding the Third Proportional to 65,383 and 141,601

Step by Step Solution

1. Step 1: Write the proportion equation
   65,383 : 141,601 = 141,601 : x
2. Step 2: Convert to fraction form
   65,383/141,601 = 141,601/x
3. Step 3: Cross multiply
   65,383x = 141,601 × 141,601
4. Step 4: Simplify right side
   65,383x = 20,050,843,201
5. Step 5: Solve for x
   x = 20,050,843,201/65,383
6. Step 6: Final answer
   x = 306,667.53