Finding the Third Proportional to 76,824 and 108,036

Step by Step Solution

1. Step 1: Write the proportion equation
   76,824 : 108,036 = 108,036 : x
2. Step 2: Convert to fraction form
   76,824/108,036 = 108,036/x
3. Step 3: Cross multiply
   76,824x = 108,036 × 108,036
4. Step 4: Simplify right side
   76,824x = 11,671,777,296
5. Step 5: Solve for x
   x = 11,671,777,296/76,824
6. Step 6: Final answer
   x = 151,928.79