Finding the Third Proportional to 46,747 and 100,054

Step by Step Solution

1. Step 1: Write the proportion equation
   46,747 : 100,054 = 100,054 : x
2. Step 2: Convert to fraction form
   46,747/100,054 = 100,054/x
3. Step 3: Cross multiply
   46,747x = 100,054 × 100,054
4. Step 4: Simplify right side
   46,747x = 10,010,802,916
5. Step 5: Solve for x
   x = 10,010,802,916/46,747
6. Step 6: Final answer
   x = 214,148.56