Finding the Third Proportional to 65,685 and 141,225

Step by Step Solution

1. Step 1: Write the proportion equation
   65,685 : 141,225 = 141,225 : x
2. Step 2: Convert to fraction form
   65,685/141,225 = 141,225/x
3. Step 3: Cross multiply
   65,685x = 141,225 × 141,225
4. Step 4: Simplify right side
   65,685x = 19,944,500,625
5. Step 5: Solve for x
   x = 19,944,500,625/65,685
6. Step 6: Final answer
   x = 303,638.59