Finding the Third Proportional to 51,886 and 101,180

Step by Step Solution

1. Step 1: Write the proportion equation
   51,886 : 101,180 = 101,180 : x
2. Step 2: Convert to fraction form
   51,886/101,180 = 101,180/x
3. Step 3: Cross multiply
   51,886x = 101,180 × 101,180
4. Step 4: Simplify right side
   51,886x = 10,237,392,400
5. Step 5: Solve for x
   x = 10,237,392,400/51,886
6. Step 6: Final answer
   x = 197,305.49