Finding the Third Proportional to 65,830 and 144,160

Step by Step Solution

1. Step 1: Write the proportion equation
   65,830 : 144,160 = 144,160 : x
2. Step 2: Convert to fraction form
   65,830/144,160 = 144,160/x
3. Step 3: Cross multiply
   65,830x = 144,160 × 144,160
4. Step 4: Simplify right side
   65,830x = 20,782,105,600
5. Step 5: Solve for x
   x = 20,782,105,600/65,830
6. Step 6: Final answer
   x = 315,693.54