Finding the Third Proportional to 111.50 and 156.88

Step by Step Solution

1. Step 1: Write the proportion equation
   111.50 : 156.88 = 156.88 : x
2. Step 2: Convert to fraction form
   111.50/156.88 = 156.88/x
3. Step 3: Cross multiply
   111.50x = 156.88 × 156.88
4. Step 4: Simplify right side
   111.50x = 24,609.77
5. Step 5: Solve for x
   x = 24,609.77/111.50
6. Step 6: Final answer
   x = 220.72