Finding the Third Proportional to 65,684 and 141,223

Step by Step Solution

1. Step 1: Write the proportion equation
   65,684 : 141,223 = 141,223 : x
2. Step 2: Convert to fraction form
   65,684/141,223 = 141,223/x
3. Step 3: Cross multiply
   65,684x = 141,223 × 141,223
4. Step 4: Simplify right side
   65,684x = 19,943,935,729
5. Step 5: Solve for x
   x = 19,943,935,729/65,684
6. Step 6: Final answer
   x = 303,634.61