Finding the Third Proportional to 49,056 and 106,648

Step by Step Solution

1. Step 1: Write the proportion equation
   49,056 : 106,648 = 106,648 : x
2. Step 2: Convert to fraction form
   49,056/106,648 = 106,648/x
3. Step 3: Cross multiply
   49,056x = 106,648 × 106,648
4. Step 4: Simplify right side
   49,056x = 11,373,795,904
5. Step 5: Solve for x
   x = 11,373,795,904/49,056
6. Step 6: Final answer
   x = 231,853.31