Finding the Third Proportional to 78.50 and 170.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78.50 : 170.88 = 170.88 : x
2. Step 2: Convert to fraction form
   78.50/170.88 = 170.88/x
3. Step 3: Cross multiply
   78.50x = 170.88 × 170.88
4. Step 4: Simplify right side
   78.50x = 29,198.27
5. Step 5: Solve for x
   x = 29,198.27/78.50
6. Step 6: Final answer
   x = 371.95