Finding the Third Proportional to 65,640 and 141,630

Step by Step Solution

1. Step 1: Write the proportion equation
   65,640 : 141,630 = 141,630 : x
2. Step 2: Convert to fraction form
   65,640/141,630 = 141,630/x
3. Step 3: Cross multiply
   65,640x = 141,630 × 141,630
4. Step 4: Simplify right side
   65,640x = 20,059,056,900
5. Step 5: Solve for x
   x = 20,059,056,900/65,640
6. Step 6: Final answer
   x = 305,591.97