Finding the Third Proportional to 171,608 and 378,144

Step by Step Solution

1. Step 1: Write the proportion equation
   171,608 : 378,144 = 378,144 : x
2. Step 2: Convert to fraction form
   171,608/378,144 = 378,144/x
3. Step 3: Cross multiply
   171,608x = 378,144 × 378,144
4. Step 4: Simplify right side
   171,608x = 142,992,884,736
5. Step 5: Solve for x
   x = 142,992,884,736/171,608
6. Step 6: Final answer
   x = 833,253.02