Finding the Third Proportional to 72.80 and 113.63

Step by Step Solution

1. Step 1: Write the proportion equation
   72.80 : 113.63 = 113.63 : x
2. Step 2: Convert to fraction form
   72.80/113.63 = 113.63/x
3. Step 3: Cross multiply
   72.80x = 113.63 × 113.63
4. Step 4: Simplify right side
   72.80x = 12,910.64
5. Step 5: Solve for x
   x = 12,910.64/72.80
6. Step 6: Final answer
   x = 177.35