Finding the Third Proportional to 78,664 and 170,456

Step by Step Solution

1. Step 1: Write the proportion equation
   78,664 : 170,456 = 170,456 : x
2. Step 2: Convert to fraction form
   78,664/170,456 = 170,456/x
3. Step 3: Cross multiply
   78,664x = 170,456 × 170,456
4. Step 4: Simplify right side
   78,664x = 29,055,247,936
5. Step 5: Solve for x
   x = 29,055,247,936/78,664
6. Step 6: Final answer
   x = 369,358.89