Finding the Third Proportional to 78,264 and 171,288

Step by Step Solution

1. Step 1: Write the proportion equation
   78,264 : 171,288 = 171,288 : x
2. Step 2: Convert to fraction form
   78,264/171,288 = 171,288/x
3. Step 3: Cross multiply
   78,264x = 171,288 × 171,288
4. Step 4: Simplify right side
   78,264x = 29,339,578,944
5. Step 5: Solve for x
   x = 29,339,578,944/78,264
6. Step 6: Final answer
   x = 374,879.62