Finding the Third Proportional to 272.50 and 352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   272.50 : 352.50 = 352.50 : x
2. Step 2: Convert to fraction form
   272.50/352.50 = 352.50/x
3. Step 3: Cross multiply
   272.50x = 352.50 × 352.50
4. Step 4: Simplify right side
   272.50x = 124,256.25
5. Step 5: Solve for x
   x = 124,256.25/272.50
6. Step 6: Final answer
   x = 455.99