Finding the Third Proportional to 51,872 and 114,112

Step by Step Solution

1. Step 1: Write the proportion equation
   51,872 : 114,112 = 114,112 : x
2. Step 2: Convert to fraction form
   51,872/114,112 = 114,112/x
3. Step 3: Cross multiply
   51,872x = 114,112 × 114,112
4. Step 4: Simplify right side
   51,872x = 13,021,548,544
5. Step 5: Solve for x
   x = 13,021,548,544/51,872
6. Step 6: Final answer
   x = 251,032.32