Finding the Third Proportional to 364.50 and 529.45

Step by Step Solution

1. Step 1: Write the proportion equation
   364.50 : 529.45 = 529.45 : x
2. Step 2: Convert to fraction form
   364.50/529.45 = 529.45/x
3. Step 3: Cross multiply
   364.50x = 529.45 × 529.45
4. Step 4: Simplify right side
   364.50x = 280,320.61
5. Step 5: Solve for x
   x = 280,320.61/364.50
6. Step 6: Final answer
   x = 769.06