Finding the Third Proportional to 88.50 and 126.75

Step by Step Solution

1. Step 1: Write the proportion equation
   88.50 : 126.75 = 126.75 : x
2. Step 2: Convert to fraction form
   88.50/126.75 = 126.75/x
3. Step 3: Cross multiply
   88.50x = 126.75 × 126.75
4. Step 4: Simplify right side
   88.50x = 16,065.56
5. Step 5: Solve for x
   x = 16,065.56/88.50
6. Step 6: Final answer
   x = 181.53