Finding the Third Proportional to 49,519 and 105,950

Step by Step Solution

1. Step 1: Write the proportion equation
   49,519 : 105,950 = 105,950 : x
2. Step 2: Convert to fraction form
   49,519/105,950 = 105,950/x
3. Step 3: Cross multiply
   49,519x = 105,950 × 105,950
4. Step 4: Simplify right side
   49,519x = 11,225,402,500
5. Step 5: Solve for x
   x = 11,225,402,500/49,519
6. Step 6: Final answer
   x = 226,688.80