Finding the Third Proportional to 49,151 and 105,471

Step by Step Solution

1. Step 1: Write the proportion equation
   49,151 : 105,471 = 105,471 : x
2. Step 2: Convert to fraction form
   49,151/105,471 = 105,471/x
3. Step 3: Cross multiply
   49,151x = 105,471 × 105,471
4. Step 4: Simplify right side
   49,151x = 11,124,131,841
5. Step 5: Solve for x
   x = 11,124,131,841/49,151
6. Step 6: Final answer
   x = 226,325.65