Finding the Third Proportional to 191.50 and 260.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191.50 : 260.50 = 260.50 : x
2. Step 2: Convert to fraction form
   191.50/260.50 = 260.50/x
3. Step 3: Cross multiply
   191.50x = 260.50 × 260.50
4. Step 4: Simplify right side
   191.50x = 67,860.25
5. Step 5: Solve for x
   x = 67,860.25/191.50
6. Step 6: Final answer
   x = 354.36