Finding the Third Proportional to 102.50 and 181.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102.50 : 181.25 = 181.25 : x
2. Step 2: Convert to fraction form
   102.50/181.25 = 181.25/x
3. Step 3: Cross multiply
   102.50x = 181.25 × 181.25
4. Step 4: Simplify right side
   102.50x = 32,851.56
5. Step 5: Solve for x
   x = 32,851.56/102.50
6. Step 6: Final answer
   x = 320.50