Finding the Third Proportional to 51,198 and 105,948

Step by Step Solution

1. Step 1: Write the proportion equation
   51,198 : 105,948 = 105,948 : x
2. Step 2: Convert to fraction form
   51,198/105,948 = 105,948/x
3. Step 3: Cross multiply
   51,198x = 105,948 × 105,948
4. Step 4: Simplify right side
   51,198x = 11,224,978,704
5. Step 5: Solve for x
   x = 11,224,978,704/51,198
6. Step 6: Final answer
   x = 219,246.43