Finding the Third Proportional to 49,275 and 105,930

Step by Step Solution

1. Step 1: Write the proportion equation
   49,275 : 105,930 = 105,930 : x
2. Step 2: Convert to fraction form
   49,275/105,930 = 105,930/x
3. Step 3: Cross multiply
   49,275x = 105,930 × 105,930
4. Step 4: Simplify right side
   49,275x = 11,221,164,900
5. Step 5: Solve for x
   x = 11,221,164,900/49,275
6. Step 6: Final answer
   x = 227,725.32