Finding the Third Proportional to 49,436 and 105,434

Step by Step Solution

1. Step 1: Write the proportion equation
   49,436 : 105,434 = 105,434 : x
2. Step 2: Convert to fraction form
   49,436/105,434 = 105,434/x
3. Step 3: Cross multiply
   49,436x = 105,434 × 105,434
4. Step 4: Simplify right side
   49,436x = 11,116,328,356
5. Step 5: Solve for x
   x = 11,116,328,356/49,436
6. Step 6: Final answer
   x = 224,863.02