Finding the Third Proportional to 359.50 and 536.25

Step by Step Solution

1. Step 1: Write the proportion equation
   359.50 : 536.25 = 536.25 : x
2. Step 2: Convert to fraction form
   359.50/536.25 = 536.25/x
3. Step 3: Cross multiply
   359.50x = 536.25 × 536.25
4. Step 4: Simplify right side
   359.50x = 287,564.06
5. Step 5: Solve for x
   x = 287,564.06/359.50
6. Step 6: Final answer
   x = 799.90