Finding the Third Proportional to 46,144 and 100,388

Step by Step Solution

1. Step 1: Write the proportion equation
   46,144 : 100,388 = 100,388 : x
2. Step 2: Convert to fraction form
   46,144/100,388 = 100,388/x
3. Step 3: Cross multiply
   46,144x = 100,388 × 100,388
4. Step 4: Simplify right side
   46,144x = 10,077,750,544
5. Step 5: Solve for x
   x = 10,077,750,544/46,144
6. Step 6: Final answer
   x = 218,397.85