Finding the Third Proportional to 65,902 and 142,096

Step by Step Solution

1. Step 1: Write the proportion equation
   65,902 : 142,096 = 142,096 : x
2. Step 2: Convert to fraction form
   65,902/142,096 = 142,096/x
3. Step 3: Cross multiply
   65,902x = 142,096 × 142,096
4. Step 4: Simplify right side
   65,902x = 20,191,273,216
5. Step 5: Solve for x
   x = 20,191,273,216/65,902
6. Step 6: Final answer
   x = 306,383.31