Finding the Third Proportional to 49,642 and 109,112

Step by Step Solution

1. Step 1: Write the proportion equation
   49,642 : 109,112 = 109,112 : x
2. Step 2: Convert to fraction form
   49,642/109,112 = 109,112/x
3. Step 3: Cross multiply
   49,642x = 109,112 × 109,112
4. Step 4: Simplify right side
   49,642x = 11,905,428,544
5. Step 5: Solve for x
   x = 11,905,428,544/49,642
6. Step 6: Final answer
   x = 239,825.72