Finding the Third Proportional to 49,080 and 105,276

Step by Step Solution

1. Step 1: Write the proportion equation
   49,080 : 105,276 = 105,276 : x
2. Step 2: Convert to fraction form
   49,080/105,276 = 105,276/x
3. Step 3: Cross multiply
   49,080x = 105,276 × 105,276
4. Step 4: Simplify right side
   49,080x = 11,083,036,176
5. Step 5: Solve for x
   x = 11,083,036,176/49,080
6. Step 6: Final answer
   x = 225,815.73