Finding the Third Proportional to 70,556 and 105,824

Step by Step Solution

1. Step 1: Write the proportion equation
   70,556 : 105,824 = 105,824 : x
2. Step 2: Convert to fraction form
   70,556/105,824 = 105,824/x
3. Step 3: Cross multiply
   70,556x = 105,824 × 105,824
4. Step 4: Simplify right side
   70,556x = 11,198,718,976
5. Step 5: Solve for x
   x = 11,198,718,976/70,556
6. Step 6: Final answer
   x = 158,721.00