Finding the Third Proportional to 369.25 and 526.82

Step by Step Solution

1. Step 1: Write the proportion equation
   369.25 : 526.82 = 526.82 : x
2. Step 2: Convert to fraction form
   369.25/526.82 = 526.82/x
3. Step 3: Cross multiply
   369.25x = 526.82 × 526.82
4. Step 4: Simplify right side
   369.25x = 277,535.53
5. Step 5: Solve for x
   x = 277,535.53/369.25
6. Step 6: Final answer
   x = 751.63