Finding the Third Proportional to 49,158 and 105,609

Step by Step Solution

1. Step 1: Write the proportion equation
   49,158 : 105,609 = 105,609 : x
2. Step 2: Convert to fraction form
   49,158/105,609 = 105,609/x
3. Step 3: Cross multiply
   49,158x = 105,609 × 105,609
4. Step 4: Simplify right side
   49,158x = 11,153,260,881
5. Step 5: Solve for x
   x = 11,153,260,881/49,158
6. Step 6: Final answer
   x = 226,885.98