Finding the Third Proportional to 46,749 and 101,886

Step by Step Solution

1. Step 1: Write the proportion equation
   46,749 : 101,886 = 101,886 : x
2. Step 2: Convert to fraction form
   46,749/101,886 = 101,886/x
3. Step 3: Cross multiply
   46,749x = 101,886 × 101,886
4. Step 4: Simplify right side
   46,749x = 10,380,756,996
5. Step 5: Solve for x
   x = 10,380,756,996/46,749
6. Step 6: Final answer
   x = 222,053.03