Finding the Third Proportional to 82,380 and 179,984

Step by Step Solution

1. Step 1: Write the proportion equation
   82,380 : 179,984 = 179,984 : x
2. Step 2: Convert to fraction form
   82,380/179,984 = 179,984/x
3. Step 3: Cross multiply
   82,380x = 179,984 × 179,984
4. Step 4: Simplify right side
   82,380x = 32,394,240,256
5. Step 5: Solve for x
   x = 32,394,240,256/82,380
6. Step 6: Final answer
   x = 393,229.43