Finding the Third Proportional to 83.50 and 150.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83.50 : 150.75 = 150.75 : x
2. Step 2: Convert to fraction form
   83.50/150.75 = 150.75/x
3. Step 3: Cross multiply
   83.50x = 150.75 × 150.75
4. Step 4: Simplify right side
   83.50x = 22,725.56
5. Step 5: Solve for x
   x = 22,725.56/83.50
6. Step 6: Final answer
   x = 272.16