Finding the Third Proportional to 77,048 and 160,144

Step by Step Solution

1. Step 1: Write the proportion equation
   77,048 : 160,144 = 160,144 : x
2. Step 2: Convert to fraction form
   77,048/160,144 = 160,144/x
3. Step 3: Cross multiply
   77,048x = 160,144 × 160,144
4. Step 4: Simplify right side
   77,048x = 25,646,100,736
5. Step 5: Solve for x
   x = 25,646,100,736/77,048
6. Step 6: Final answer
   x = 332,858.75