Finding the Third Proportional to 65,902 and 144,350

Step by Step Solution

1. Step 1: Write the proportion equation
   65,902 : 144,350 = 144,350 : x
2. Step 2: Convert to fraction form
   65,902/144,350 = 144,350/x
3. Step 3: Cross multiply
   65,902x = 144,350 × 144,350
4. Step 4: Simplify right side
   65,902x = 20,836,922,500
5. Step 5: Solve for x
   x = 20,836,922,500/65,902
6. Step 6: Final answer
   x = 316,180.43