Finding the Third Proportional to 50,229 and 105,626.25

Step by Step Solution

1. Step 1: Write the proportion equation
   50,229 : 105,626.25 = 105,626.25 : x
2. Step 2: Convert to fraction form
   50,229/105,626.25 = 105,626.25/x
3. Step 3: Cross multiply
   50,229x = 105,626.25 × 105,626.25
4. Step 4: Simplify right side
   50,229x = 11,156,904,689.06
5. Step 5: Solve for x
   x = 11,156,904,689.06/50,229
6. Step 6: Final answer
   x = 222,120.78