Finding the Third Proportional to 78,104 and 171,160

Step by Step Solution

1. Step 1: Write the proportion equation
   78,104 : 171,160 = 171,160 : x
2. Step 2: Convert to fraction form
   78,104/171,160 = 171,160/x
3. Step 3: Cross multiply
   78,104x = 171,160 × 171,160
4. Step 4: Simplify right side
   78,104x = 29,295,745,600
5. Step 5: Solve for x
   x = 29,295,745,600/78,104
6. Step 6: Final answer
   x = 375,086.37