Finding the Third Proportional to 99.50 and 110.75

Step by Step Solution

1. Step 1: Write the proportion equation
   99.50 : 110.75 = 110.75 : x
2. Step 2: Convert to fraction form
   99.50/110.75 = 110.75/x
3. Step 3: Cross multiply
   99.50x = 110.75 × 110.75
4. Step 4: Simplify right side
   99.50x = 12,265.56
5. Step 5: Solve for x
   x = 12,265.56/99.50
6. Step 6: Final answer
   x = 123.27