Finding the Third Proportional to 172,104 and 378,144

Step by Step Solution

1. Step 1: Write the proportion equation
   172,104 : 378,144 = 378,144 : x
2. Step 2: Convert to fraction form
   172,104/378,144 = 378,144/x
3. Step 3: Cross multiply
   172,104x = 378,144 × 378,144
4. Step 4: Simplify right side
   172,104x = 142,992,884,736
5. Step 5: Solve for x
   x = 142,992,884,736/172,104
6. Step 6: Final answer
   x = 830,851.61