Finding the Third Proportional to 91.50 and 159.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91.50 : 159.25 = 159.25 : x
2. Step 2: Convert to fraction form
   91.50/159.25 = 159.25/x
3. Step 3: Cross multiply
   91.50x = 159.25 × 159.25
4. Step 4: Simplify right side
   91.50x = 25,360.56
5. Step 5: Solve for x
   x = 25,360.56/91.50
6. Step 6: Final answer
   x = 277.16