Finding the Third Proportional to 78,824 and 167,872

Step by Step Solution

1. Step 1: Write the proportion equation
   78,824 : 167,872 = 167,872 : x
2. Step 2: Convert to fraction form
   78,824/167,872 = 167,872/x
3. Step 3: Cross multiply
   78,824x = 167,872 × 167,872
4. Step 4: Simplify right side
   78,824x = 28,181,008,384
5. Step 5: Solve for x
   x = 28,181,008,384/78,824
6. Step 6: Final answer
   x = 357,518.12