Finding the Third Proportional to 191.50 and 271.25

Step by Step Solution

1. Step 1: Write the proportion equation
   191.50 : 271.25 = 271.25 : x
2. Step 2: Convert to fraction form
   191.50/271.25 = 271.25/x
3. Step 3: Cross multiply
   191.50x = 271.25 × 271.25
4. Step 4: Simplify right side
   191.50x = 73,576.56
5. Step 5: Solve for x
   x = 73,576.56/191.50
6. Step 6: Final answer
   x = 384.21