Finding the Third Proportional to 514.69 and 730.69

Step by Step Solution

1. Step 1: Write the proportion equation
   514.69 : 730.69 = 730.69 : x
2. Step 2: Convert to fraction form
   514.69/730.69 = 730.69/x
3. Step 3: Cross multiply
   514.69x = 730.69 × 730.69
4. Step 4: Simplify right side
   514.69x = 533,904.22
5. Step 5: Solve for x
   x = 533,904.22/514.69
6. Step 6: Final answer
   x = 1,037.34