Finding the Third Proportional to 307.69 and 578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   307.69 : 578.25 = 578.25 : x
2. Step 2: Convert to fraction form
   307.69/578.25 = 578.25/x
3. Step 3: Cross multiply
   307.69x = 578.25 × 578.25
4. Step 4: Simplify right side
   307.69x = 334,373.06
5. Step 5: Solve for x
   x = 334,373.06/307.69
6. Step 6: Final answer
   x = 1,086.73