Finding the Third Proportional to 364.50 and 538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364.50 : 538.50 = 538.50 : x
2. Step 2: Convert to fraction form
   364.50/538.50 = 538.50/x
3. Step 3: Cross multiply
   364.50x = 538.50 × 538.50
4. Step 4: Simplify right side
   364.50x = 289,982.25
5. Step 5: Solve for x
   x = 289,982.25/364.50
6. Step 6: Final answer
   x = 795.56