Finding the Third Proportional to 328.69 and 507.94

Step by Step Solution

1. Step 1: Write the proportion equation
   328.69 : 507.94 = 507.94 : x
2. Step 2: Convert to fraction form
   328.69/507.94 = 507.94/x
3. Step 3: Cross multiply
   328.69x = 507.94 × 507.94
4. Step 4: Simplify right side
   328.69x = 258,000.50
5. Step 5: Solve for x
   x = 258,000.50/328.69
6. Step 6: Final answer
   x = 784.94