Finding the Third Proportional to 586.69 and 928.69

Step by Step Solution

1. Step 1: Write the proportion equation
   586.69 : 928.69 = 928.69 : x
2. Step 2: Convert to fraction form
   586.69/928.69 = 928.69/x
3. Step 3: Cross multiply
   586.69x = 928.69 × 928.69
4. Step 4: Simplify right side
   586.69x = 862,460.47
5. Step 5: Solve for x
   x = 862,460.47/586.69
6. Step 6: Final answer
   x = 1,470.05