Finding the Third Proportional to 50,646 and 111,011.25

Step by Step Solution

1. Step 1: Write the proportion equation
   50,646 : 111,011.25 = 111,011.25 : x
2. Step 2: Convert to fraction form
   50,646/111,011.25 = 111,011.25/x
3. Step 3: Cross multiply
   50,646x = 111,011.25 × 111,011.25
4. Step 4: Simplify right side
   50,646x = 12,323,497,626.56
5. Step 5: Solve for x
   x = 12,323,497,626.56/50,646
6. Step 6: Final answer
   x = 243,326.18