Finding the Third Proportional to 388.23 and 824.52

Step by Step Solution

1. Step 1: Write the proportion equation
   388.23 : 824.52 = 824.52 : x
2. Step 2: Convert to fraction form
   388.23/824.52 = 824.52/x
3. Step 3: Cross multiply
   388.23x = 824.52 × 824.52
4. Step 4: Simplify right side
   388.23x = 679,825.21
5. Step 5: Solve for x
   x = 679,825.21/388.23
6. Step 6: Final answer
   x = 1,751.09