Finding the Third Proportional to 65,230 and 142,962

Step by Step Solution

1. Step 1: Write the proportion equation
   65,230 : 142,962 = 142,962 : x
2. Step 2: Convert to fraction form
   65,230/142,962 = 142,962/x
3. Step 3: Cross multiply
   65,230x = 142,962 × 142,962
4. Step 4: Simplify right side
   65,230x = 20,438,133,444
5. Step 5: Solve for x
   x = 20,438,133,444/65,230
6. Step 6: Final answer
   x = 313,324.14