Finding the Third Proportional to 65,984 and 142,384

Step by Step Solution

1. Step 1: Write the proportion equation
   65,984 : 142,384 = 142,384 : x
2. Step 2: Convert to fraction form
   65,984/142,384 = 142,384/x
3. Step 3: Cross multiply
   65,984x = 142,384 × 142,384
4. Step 4: Simplify right side
   65,984x = 20,273,203,456
5. Step 5: Solve for x
   x = 20,273,203,456/65,984
6. Step 6: Final answer
   x = 307,244.23