Finding the Third Proportional to 54,192 and 77,256

Step by Step Solution

1. Step 1: Write the proportion equation
   54,192 : 77,256 = 77,256 : x
2. Step 2: Convert to fraction form
   54,192/77,256 = 77,256/x
3. Step 3: Cross multiply
   54,192x = 77,256 × 77,256
4. Step 4: Simplify right side
   54,192x = 5,968,489,536
5. Step 5: Solve for x
   x = 5,968,489,536/54,192
6. Step 6: Final answer
   x = 110,135.99