Finding the Third Proportional to 433.69 and 590.20

Step by Step Solution

1. Step 1: Write the proportion equation
   433.69 : 590.20 = 590.20 : x
2. Step 2: Convert to fraction form
   433.69/590.20 = 590.20/x
3. Step 3: Cross multiply
   433.69x = 590.20 × 590.20
4. Step 4: Simplify right side
   433.69x = 348,339.73
5. Step 5: Solve for x
   x = 348,339.73/433.69
6. Step 6: Final answer
   x = 803.20