Finding the Third Proportional to 78.75 and 169.38

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 169.38 = 169.38 : x
2. Step 2: Convert to fraction form
   78.75/169.38 = 169.38/x
3. Step 3: Cross multiply
   78.75x = 169.38 × 169.38
4. Step 4: Simplify right side
   78.75x = 28,687.89
5. Step 5: Solve for x
   x = 28,687.89/78.75
6. Step 6: Final answer
   x = 364.29