Finding the Third Proportional to 72,168 and 149,856

Step by Step Solution

1. Step 1: Write the proportion equation
   72,168 : 149,856 = 149,856 : x
2. Step 2: Convert to fraction form
   72,168/149,856 = 149,856/x
3. Step 3: Cross multiply
   72,168x = 149,856 × 149,856
4. Step 4: Simplify right side
   72,168x = 22,456,820,736
5. Step 5: Solve for x
   x = 22,456,820,736/72,168
6. Step 6: Final answer
   x = 311,174.21