Finding the Third Proportional to 78.47 and 171.49

Step by Step Solution

1. Step 1: Write the proportion equation
   78.47 : 171.49 = 171.49 : x
2. Step 2: Convert to fraction form
   78.47/171.49 = 171.49/x
3. Step 3: Cross multiply
   78.47x = 171.49 × 171.49
4. Step 4: Simplify right side
   78.47x = 29,409.57
5. Step 5: Solve for x
   x = 29,409.57/78.47
6. Step 6: Final answer
   x = 374.79