Finding the Third Proportional to 85.43 and 112.96

Step by Step Solution

1. Step 1: Write the proportion equation
   85.43 : 112.96 = 112.96 : x
2. Step 2: Convert to fraction form
   85.43/112.96 = 112.96/x
3. Step 3: Cross multiply
   85.43x = 112.96 × 112.96
4. Step 4: Simplify right side
   85.43x = 12,759.29
5. Step 5: Solve for x
   x = 12,759.29/85.43
6. Step 6: Final answer
   x = 149.35