Finding the Third Proportional to 72.98 and 112.85

Step by Step Solution

1. Step 1: Write the proportion equation
   72.98 : 112.85 = 112.85 : x
2. Step 2: Convert to fraction form
   72.98/112.85 = 112.85/x
3. Step 3: Cross multiply
   72.98x = 112.85 × 112.85
4. Step 4: Simplify right side
   72.98x = 12,735.48
5. Step 5: Solve for x
   x = 12,735.48/72.98
6. Step 6: Final answer
   x = 174.50