Finding the Third Proportional to 76,984 and 171,456

Step by Step Solution

1. Step 1: Write the proportion equation
   76,984 : 171,456 = 171,456 : x
2. Step 2: Convert to fraction form
   76,984/171,456 = 171,456/x
3. Step 3: Cross multiply
   76,984x = 171,456 × 171,456
4. Step 4: Simplify right side
   76,984x = 29,397,159,936
5. Step 5: Solve for x
   x = 29,397,159,936/76,984
6. Step 6: Final answer
   x = 381,860.65