Finding the Third Proportional to 67.50 and 120.56

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 120.56 = 120.56 : x
2. Step 2: Convert to fraction form
   67.50/120.56 = 120.56/x
3. Step 3: Cross multiply
   67.50x = 120.56 × 120.56
4. Step 4: Simplify right side
   67.50x = 14,535.32
5. Step 5: Solve for x
   x = 14,535.32/67.50
6. Step 6: Final answer
   x = 215.34