Finding the Third Proportional to 49,127.50 and 105,259

Step by Step Solution

1. Step 1: Write the proportion equation
   49,127.50 : 105,259 = 105,259 : x
2. Step 2: Convert to fraction form
   49,127.50/105,259 = 105,259/x
3. Step 3: Cross multiply
   49,127.50x = 105,259 × 105,259
4. Step 4: Simplify right side
   49,127.50x = 11,079,457,081
5. Step 5: Solve for x
   x = 11,079,457,081/49,127.50
6. Step 6: Final answer
   x = 225,524.54