Finding the Third Proportional to 51,898 and 114,162

Step by Step Solution

1. Step 1: Write the proportion equation
   51,898 : 114,162 = 114,162 : x
2. Step 2: Convert to fraction form
   51,898/114,162 = 114,162/x
3. Step 3: Cross multiply
   51,898x = 114,162 × 114,162
4. Step 4: Simplify right side
   51,898x = 13,032,962,244
5. Step 5: Solve for x
   x = 13,032,962,244/51,898
6. Step 6: Final answer
   x = 251,126.48