Finding the Third Proportional to 78.56 and 170.63

Step by Step Solution

1. Step 1: Write the proportion equation
   78.56 : 170.63 = 170.63 : x
2. Step 2: Convert to fraction form
   78.56/170.63 = 170.63/x
3. Step 3: Cross multiply
   78.56x = 170.63 × 170.63
4. Step 4: Simplify right side
   78.56x = 29,112.89
5. Step 5: Solve for x
   x = 29,112.89/78.56
6. Step 6: Final answer
   x = 370.57