Finding the Third Proportional to 78,096 and 171,097

Step by Step Solution

1. Step 1: Write the proportion equation
   78,096 : 171,097 = 171,097 : x
2. Step 2: Convert to fraction form
   78,096/171,097 = 171,097/x
3. Step 3: Cross multiply
   78,096x = 171,097 × 171,097
4. Step 4: Simplify right side
   78,096x = 29,274,183,409
5. Step 5: Solve for x
   x = 29,274,183,409/78,096
6. Step 6: Final answer
   x = 374,848.69