Finding the Third Proportional to 65,837 and 141,665

Step by Step Solution

1. Step 1: Write the proportion equation
   65,837 : 141,665 = 141,665 : x
2. Step 2: Convert to fraction form
   65,837/141,665 = 141,665/x
3. Step 3: Cross multiply
   65,837x = 141,665 × 141,665
4. Step 4: Simplify right side
   65,837x = 20,068,972,225
5. Step 5: Solve for x
   x = 20,068,972,225/65,837
6. Step 6: Final answer
   x = 304,828.17