Finding the Third Proportional to 105,144 and 167,388

Step by Step Solution

1. Step 1: Write the proportion equation
   105,144 : 167,388 = 167,388 : x
2. Step 2: Convert to fraction form
   105,144/167,388 = 167,388/x
3. Step 3: Cross multiply
   105,144x = 167,388 × 167,388
4. Step 4: Simplify right side
   105,144x = 28,018,742,544
5. Step 5: Solve for x
   x = 28,018,742,544/105,144
6. Step 6: Final answer
   x = 266,479.71