Finding the Third Proportional to 253.50 and 362.25

Step by Step Solution

1. Step 1: Write the proportion equation
   253.50 : 362.25 = 362.25 : x
2. Step 2: Convert to fraction form
   253.50/362.25 = 362.25/x
3. Step 3: Cross multiply
   253.50x = 362.25 × 362.25
4. Step 4: Simplify right side
   253.50x = 131,225.06
5. Step 5: Solve for x
   x = 131,225.06/253.50
6. Step 6: Final answer
   x = 517.65