Finding the Third Proportional to 187.41 and 290.72

Step by Step Solution

1. Step 1: Write the proportion equation
   187.41 : 290.72 = 290.72 : x
2. Step 2: Convert to fraction form
   187.41/290.72 = 290.72/x
3. Step 3: Cross multiply
   187.41x = 290.72 × 290.72
4. Step 4: Simplify right side
   187.41x = 84,517.39
5. Step 5: Solve for x
   x = 84,517.39/187.41
6. Step 6: Final answer
   x = 450.98