Finding the Third Proportional to 173,144 and 378,064

Step by Step Solution

1. Step 1: Write the proportion equation
   173,144 : 378,064 = 378,064 : x
2. Step 2: Convert to fraction form
   173,144/378,064 = 378,064/x
3. Step 3: Cross multiply
   173,144x = 378,064 × 378,064
4. Step 4: Simplify right side
   173,144x = 142,932,388,096
5. Step 5: Solve for x
   x = 142,932,388,096/173,144
6. Step 6: Final answer
   x = 825,511.64