Finding the Third Proportional to 49,032 and 105,462

Step by Step Solution

1. Step 1: Write the proportion equation
   49,032 : 105,462 = 105,462 : x
2. Step 2: Convert to fraction form
   49,032/105,462 = 105,462/x
3. Step 3: Cross multiply
   49,032x = 105,462 × 105,462
4. Step 4: Simplify right side
   49,032x = 11,122,233,444
5. Step 5: Solve for x
   x = 11,122,233,444/49,032
6. Step 6: Final answer
   x = 226,836.22