Finding the Third Proportional to 359.50 and 590.75

Step by Step Solution

1. Step 1: Write the proportion equation
   359.50 : 590.75 = 590.75 : x
2. Step 2: Convert to fraction form
   359.50/590.75 = 590.75/x
3. Step 3: Cross multiply
   359.50x = 590.75 × 590.75
4. Step 4: Simplify right side
   359.50x = 348,985.56
5. Step 5: Solve for x
   x = 348,985.56/359.50
6. Step 6: Final answer
   x = 970.75