Finding the Third Proportional to 78,824 and 172,962

Step by Step Solution

1. Step 1: Write the proportion equation
   78,824 : 172,962 = 172,962 : x
2. Step 2: Convert to fraction form
   78,824/172,962 = 172,962/x
3. Step 3: Cross multiply
   78,824x = 172,962 × 172,962
4. Step 4: Simplify right side
   78,824x = 29,915,853,444
5. Step 5: Solve for x
   x = 29,915,853,444/78,824
6. Step 6: Final answer
   x = 379,527.22