Finding the Third Proportional to 55,212 and 82,824

Step by Step Solution

1. Step 1: Write the proportion equation
   55,212 : 82,824 = 82,824 : x
2. Step 2: Convert to fraction form
   55,212/82,824 = 82,824/x
3. Step 3: Cross multiply
   55,212x = 82,824 × 82,824
4. Step 4: Simplify right side
   55,212x = 6,859,814,976
5. Step 5: Solve for x
   x = 6,859,814,976/55,212
6. Step 6: Final answer
   x = 124,245.00