Finding the Third Proportional to 102.50 and 199.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102.50 : 199.25 = 199.25 : x
2. Step 2: Convert to fraction form
   102.50/199.25 = 199.25/x
3. Step 3: Cross multiply
   102.50x = 199.25 × 199.25
4. Step 4: Simplify right side
   102.50x = 39,700.56
5. Step 5: Solve for x
   x = 39,700.56/102.50
6. Step 6: Final answer
   x = 387.32