Finding the Third Proportional to 77.50 and 109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77.50 : 109.50 = 109.50 : x
2. Step 2: Convert to fraction form
   77.50/109.50 = 109.50/x
3. Step 3: Cross multiply
   77.50x = 109.50 × 109.50
4. Step 4: Simplify right side
   77.50x = 11,990.25
5. Step 5: Solve for x
   x = 11,990.25/77.50
6. Step 6: Final answer
   x = 154.71