Finding the Third Proportional to 187.88 and 291.56

Step by Step Solution

1. Step 1: Write the proportion equation
   187.88 : 291.56 = 291.56 : x
2. Step 2: Convert to fraction form
   187.88/291.56 = 291.56/x
3. Step 3: Cross multiply
   187.88x = 291.56 × 291.56
4. Step 4: Simplify right side
   187.88x = 85,008.69
5. Step 5: Solve for x
   x = 85,008.69/187.88
6. Step 6: Final answer
   x = 452.47