Finding the Third Proportional to 82.50 and 124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 124.50 = 124.50 : x
2. Step 2: Convert to fraction form
   82.50/124.50 = 124.50/x
3. Step 3: Cross multiply
   82.50x = 124.50 × 124.50
4. Step 4: Simplify right side
   82.50x = 15,500.25
5. Step 5: Solve for x
   x = 15,500.25/82.50
6. Step 6: Final answer
   x = 187.88