Finding the Third Proportional to 72.49 and 116.58

Step by Step Solution

1. Step 1: Write the proportion equation
   72.49 : 116.58 = 116.58 : x
2. Step 2: Convert to fraction form
   72.49/116.58 = 116.58/x
3. Step 3: Cross multiply
   72.49x = 116.58 × 116.58
4. Step 4: Simplify right side
   72.49x = 13,590.46
5. Step 5: Solve for x
   x = 13,590.46/72.49
6. Step 6: Final answer
   x = 187.47