Finding the Third Proportional to 78.89 and 170.02

Step by Step Solution

1. Step 1: Write the proportion equation
   78.89 : 170.02 = 170.02 : x
2. Step 2: Convert to fraction form
   78.89/170.02 = 170.02/x
3. Step 3: Cross multiply
   78.89x = 170.02 × 170.02
4. Step 4: Simplify right side
   78.89x = 28,905.31
5. Step 5: Solve for x
   x = 28,905.31/78.89
6. Step 6: Final answer
   x = 366.40