Finding the Third Proportional to 77.56 and 110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77.56 : 110.50 = 110.50 : x
2. Step 2: Convert to fraction form
   77.56/110.50 = 110.50/x
3. Step 3: Cross multiply
   77.56x = 110.50 × 110.50
4. Step 4: Simplify right side
   77.56x = 12,210.25
5. Step 5: Solve for x
   x = 12,210.25/77.56
6. Step 6: Final answer
   x = 157.42