Finding the Third Proportional to 78,824 and 172,980

Step by Step Solution

1. Step 1: Write the proportion equation
   78,824 : 172,980 = 172,980 : x
2. Step 2: Convert to fraction form
   78,824/172,980 = 172,980/x
3. Step 3: Cross multiply
   78,824x = 172,980 × 172,980
4. Step 4: Simplify right side
   78,824x = 29,922,080,400
5. Step 5: Solve for x
   x = 29,922,080,400/78,824
6. Step 6: Final answer
   x = 379,606.22