Finding the Third Proportional to 54,112 and 116,288

Step by Step Solution

1. Step 1: Write the proportion equation
   54,112 : 116,288 = 116,288 : x
2. Step 2: Convert to fraction form
   54,112/116,288 = 116,288/x
3. Step 3: Cross multiply
   54,112x = 116,288 × 116,288
4. Step 4: Simplify right side
   54,112x = 13,522,898,944
5. Step 5: Solve for x
   x = 13,522,898,944/54,112
6. Step 6: Final answer
   x = 249,905.73