Finding the Third Proportional to 72.46 and 116.63

Step by Step Solution

1. Step 1: Write the proportion equation
   72.46 : 116.63 = 116.63 : x
2. Step 2: Convert to fraction form
   72.46/116.63 = 116.63/x
3. Step 3: Cross multiply
   72.46x = 116.63 × 116.63
4. Step 4: Simplify right side
   72.46x = 13,602.76
5. Step 5: Solve for x
   x = 13,602.76/72.46
6. Step 6: Final answer
   x = 187.74