Finding the Third Proportional to 112.50 and 167.63

Step by Step Solution

1. Step 1: Write the proportion equation
   112.50 : 167.63 = 167.63 : x
2. Step 2: Convert to fraction form
   112.50/167.63 = 167.63/x
3. Step 3: Cross multiply
   112.50x = 167.63 × 167.63
4. Step 4: Simplify right side
   112.50x = 28,098.14
5. Step 5: Solve for x
   x = 28,098.14/112.50
6. Step 6: Final answer
   x = 249.76