Finding the Third Proportional to 181.50 and 298.25

Step by Step Solution

1. Step 1: Write the proportion equation
   181.50 : 298.25 = 298.25 : x
2. Step 2: Convert to fraction form
   181.50/298.25 = 298.25/x
3. Step 3: Cross multiply
   181.50x = 298.25 × 298.25
4. Step 4: Simplify right side
   181.50x = 88,953.06
5. Step 5: Solve for x
   x = 88,953.06/181.50
6. Step 6: Final answer
   x = 490.10