Finding the Third Proportional to 113.63 and 170.72

Step by Step Solution

1. Step 1: Write the proportion equation
   113.63 : 170.72 = 170.72 : x
2. Step 2: Convert to fraction form
   113.63/170.72 = 170.72/x
3. Step 3: Cross multiply
   113.63x = 170.72 × 170.72
4. Step 4: Simplify right side
   113.63x = 29,144.89
5. Step 5: Solve for x
   x = 29,144.89/113.63
6. Step 6: Final answer
   x = 256.50