Finding the Third Proportional to 54,082 and 116,212

Step by Step Solution

1. Step 1: Write the proportion equation
   54,082 : 116,212 = 116,212 : x
2. Step 2: Convert to fraction form
   54,082/116,212 = 116,212/x
3. Step 3: Cross multiply
   54,082x = 116,212 × 116,212
4. Step 4: Simplify right side
   54,082x = 13,505,228,944
5. Step 5: Solve for x
   x = 13,505,228,944/54,082
6. Step 6: Final answer
   x = 249,717.63