Finding the Third Proportional to 82.50 and 192.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 192.25 = 192.25 : x
2. Step 2: Convert to fraction form
   82.50/192.25 = 192.25/x
3. Step 3: Cross multiply
   82.50x = 192.25 × 192.25
4. Step 4: Simplify right side
   82.50x = 36,960.06
5. Step 5: Solve for x
   x = 36,960.06/82.50
6. Step 6: Final answer
   x = 448.00