Finding the Third Proportional to 116.23 and 180.98

Step by Step Solution

1. Step 1: Write the proportion equation
   116.23 : 180.98 = 180.98 : x
2. Step 2: Convert to fraction form
   116.23/180.98 = 180.98/x
3. Step 3: Cross multiply
   116.23x = 180.98 × 180.98
4. Step 4: Simplify right side
   116.23x = 32,755.34
5. Step 5: Solve for x
   x = 32,755.34/116.23
6. Step 6: Final answer
   x = 281.82