Finding the Third Proportional to 49,293 and 105,958

Step by Step Solution

1. Step 1: Write the proportion equation
   49,293 : 105,958 = 105,958 : x
2. Step 2: Convert to fraction form
   49,293/105,958 = 105,958/x
3. Step 3: Cross multiply
   49,293x = 105,958 × 105,958
4. Step 4: Simplify right side
   49,293x = 11,227,097,764
5. Step 5: Solve for x
   x = 11,227,097,764/49,293
6. Step 6: Final answer
   x = 227,762.52