Finding the Third Proportional to 54,144 and 116,904

Step by Step Solution

1. Step 1: Write the proportion equation
   54,144 : 116,904 = 116,904 : x
2. Step 2: Convert to fraction form
   54,144/116,904 = 116,904/x
3. Step 3: Cross multiply
   54,144x = 116,904 × 116,904
4. Step 4: Simplify right side
   54,144x = 13,666,545,216
5. Step 5: Solve for x
   x = 13,666,545,216/54,144
6. Step 6: Final answer
   x = 252,411.07