Finding the Third Proportional to 49,761 and 105,137

Step by Step Solution

1. Step 1: Write the proportion equation
   49,761 : 105,137 = 105,137 : x
2. Step 2: Convert to fraction form
   49,761/105,137 = 105,137/x
3. Step 3: Cross multiply
   49,761x = 105,137 × 105,137
4. Step 4: Simplify right side
   49,761x = 11,053,788,769
5. Step 5: Solve for x
   x = 11,053,788,769/49,761
6. Step 6: Final answer
   x = 222,137.59