Finding the Third Proportional to 65,830 and 144,162

Step by Step Solution

1. Step 1: Write the proportion equation
   65,830 : 144,162 = 144,162 : x
2. Step 2: Convert to fraction form
   65,830/144,162 = 144,162/x
3. Step 3: Cross multiply
   65,830x = 144,162 × 144,162
4. Step 4: Simplify right side
   65,830x = 20,782,682,244
5. Step 5: Solve for x
   x = 20,782,682,244/65,830
6. Step 6: Final answer
   x = 315,702.30