Finding the Third Proportional to 78,636 and 171,096

Step by Step Solution

1. Step 1: Write the proportion equation
   78,636 : 171,096 = 171,096 : x
2. Step 2: Convert to fraction form
   78,636/171,096 = 171,096/x
3. Step 3: Cross multiply
   78,636x = 171,096 × 171,096
4. Step 4: Simplify right side
   78,636x = 29,273,841,216
5. Step 5: Solve for x
   x = 29,273,841,216/78,636
6. Step 6: Final answer
   x = 372,270.22