Finding the Third Proportional to 338.50 and 527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338.50 : 527.50 = 527.50 : x
2. Step 2: Convert to fraction form
   338.50/527.50 = 527.50/x
3. Step 3: Cross multiply
   338.50x = 527.50 × 527.50
4. Step 4: Simplify right side
   338.50x = 278,256.25
5. Step 5: Solve for x
   x = 278,256.25/338.50
6. Step 6: Final answer
   x = 822.03