Finding the Third Proportional to 49,466 and 105,844

Step by Step Solution

1. Step 1: Write the proportion equation
   49,466 : 105,844 = 105,844 : x
2. Step 2: Convert to fraction form
   49,466/105,844 = 105,844/x
3. Step 3: Cross multiply
   49,466x = 105,844 × 105,844
4. Step 4: Simplify right side
   49,466x = 11,202,952,336
5. Step 5: Solve for x
   x = 11,202,952,336/49,466
6. Step 6: Final answer
   x = 226,477.83