Finding the Third Proportional to 65,514 and 143,286

Step by Step Solution

1. Step 1: Write the proportion equation
   65,514 : 143,286 = 143,286 : x
2. Step 2: Convert to fraction form
   65,514/143,286 = 143,286/x
3. Step 3: Cross multiply
   65,514x = 143,286 × 143,286
4. Step 4: Simplify right side
   65,514x = 20,530,877,796
5. Step 5: Solve for x
   x = 20,530,877,796/65,514
6. Step 6: Final answer
   x = 313,381.53