Finding the Third Proportional to 113.63 and 169.31

Step by Step Solution

1. Step 1: Write the proportion equation
   113.63 : 169.31 = 169.31 : x
2. Step 2: Convert to fraction form
   113.63/169.31 = 169.31/x
3. Step 3: Cross multiply
   113.63x = 169.31 × 169.31
4. Step 4: Simplify right side
   113.63x = 28,666.72
5. Step 5: Solve for x
   x = 28,666.72/113.63
6. Step 6: Final answer
   x = 252.29