Finding the Third Proportional to 112.64 and 172.83

Step by Step Solution

1. Step 1: Write the proportion equation
   112.64 : 172.83 = 172.83 : x
2. Step 2: Convert to fraction form
   112.64/172.83 = 172.83/x
3. Step 3: Cross multiply
   112.64x = 172.83 × 172.83
4. Step 4: Simplify right side
   112.64x = 29,869.56
5. Step 5: Solve for x
   x = 29,869.56/112.64
6. Step 6: Final answer
   x = 265.18