Finding the Third Proportional to 359.50 and 537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359.50 : 537.50 = 537.50 : x
2. Step 2: Convert to fraction form
   359.50/537.50 = 537.50/x
3. Step 3: Cross multiply
   359.50x = 537.50 × 537.50
4. Step 4: Simplify right side
   359.50x = 288,906.25
5. Step 5: Solve for x
   x = 288,906.25/359.50
6. Step 6: Final answer
   x = 803.63