Finding the Third Proportional to 49,755 and 105,270

Step by Step Solution

1. Step 1: Write the proportion equation
   49,755 : 105,270 = 105,270 : x
2. Step 2: Convert to fraction form
   49,755/105,270 = 105,270/x
3. Step 3: Cross multiply
   49,755x = 105,270 × 105,270
4. Step 4: Simplify right side
   49,755x = 11,081,772,900
5. Step 5: Solve for x
   x = 11,081,772,900/49,755
6. Step 6: Final answer
   x = 222,726.82