Finding the Third Proportional to 359.50 and 525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359.50 : 525.50 = 525.50 : x
2. Step 2: Convert to fraction form
   359.50/525.50 = 525.50/x
3. Step 3: Cross multiply
   359.50x = 525.50 × 525.50
4. Step 4: Simplify right side
   359.50x = 276,150.25
5. Step 5: Solve for x
   x = 276,150.25/359.50
6. Step 6: Final answer
   x = 768.15