Finding the Third Proportional to 49,455 and 109,966

Step by Step Solution

1. Step 1: Write the proportion equation
   49,455 : 109,966 = 109,966 : x
2. Step 2: Convert to fraction form
   49,455/109,966 = 109,966/x
3. Step 3: Cross multiply
   49,455x = 109,966 × 109,966
4. Step 4: Simplify right side
   49,455x = 12,092,521,156
5. Step 5: Solve for x
   x = 12,092,521,156/49,455
6. Step 6: Final answer
   x = 244,515.64