Finding the Third Proportional to 78,048 and 171,270

Step by Step Solution

1. Step 1: Write the proportion equation
   78,048 : 171,270 = 171,270 : x
2. Step 2: Convert to fraction form
   78,048/171,270 = 171,270/x
3. Step 3: Cross multiply
   78,048x = 171,270 × 171,270
4. Step 4: Simplify right side
   78,048x = 29,333,412,900
5. Step 5: Solve for x
   x = 29,333,412,900/78,048
6. Step 6: Final answer
   x = 375,838.11