Finding the Third Proportional to 180.50 and 289.25

Step by Step Solution

1. Step 1: Write the proportion equation
   180.50 : 289.25 = 289.25 : x
2. Step 2: Convert to fraction form
   180.50/289.25 = 289.25/x
3. Step 3: Cross multiply
   180.50x = 289.25 × 289.25
4. Step 4: Simplify right side
   180.50x = 83,665.56
5. Step 5: Solve for x
   x = 83,665.56/180.50
6. Step 6: Final answer
   x = 463.52