Finding the Third Proportional to 384.75 and 525.38

Step by Step Solution

1. Step 1: Write the proportion equation
   384.75 : 525.38 = 525.38 : x
2. Step 2: Convert to fraction form
   384.75/525.38 = 525.38/x
3. Step 3: Cross multiply
   384.75x = 525.38 × 525.38
4. Step 4: Simplify right side
   384.75x = 276,018.89
5. Step 5: Solve for x
   x = 276,018.89/384.75
6. Step 6: Final answer
   x = 717.40