Finding the Third Proportional to 82.50 and 125.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 125.25 = 125.25 : x
2. Step 2: Convert to fraction form
   82.50/125.25 = 125.25/x
3. Step 3: Cross multiply
   82.50x = 125.25 × 125.25
4. Step 4: Simplify right side
   82.50x = 15,687.56
5. Step 5: Solve for x
   x = 15,687.56/82.50
6. Step 6: Final answer
   x = 190.15