Finding the Third Proportional to 78.75 and 170.72

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 170.72 = 170.72 : x
2. Step 2: Convert to fraction form
   78.75/170.72 = 170.72/x
3. Step 3: Cross multiply
   78.75x = 170.72 × 170.72
4. Step 4: Simplify right side
   78.75x = 29,144.89
5. Step 5: Solve for x
   x = 29,144.89/78.75
6. Step 6: Final answer
   x = 370.09