Finding the Third Proportional to 78,096 and 169,215

Step by Step Solution

1. Step 1: Write the proportion equation
   78,096 : 169,215 = 169,215 : x
2. Step 2: Convert to fraction form
   78,096/169,215 = 169,215/x
3. Step 3: Cross multiply
   78,096x = 169,215 × 169,215
4. Step 4: Simplify right side
   78,096x = 28,633,716,225
5. Step 5: Solve for x
   x = 28,633,716,225/78,096
6. Step 6: Final answer
   x = 366,647.67