Finding the Third Proportional to 384.52 and 829.78

Step by Step Solution

1. Step 1: Write the proportion equation
   384.52 : 829.78 = 829.78 : x
2. Step 2: Convert to fraction form
   384.52/829.78 = 829.78/x
3. Step 3: Cross multiply
   384.52x = 829.78 × 829.78
4. Step 4: Simplify right side
   384.52x = 688,536.92
5. Step 5: Solve for x
   x = 688,536.92/384.52
6. Step 6: Final answer
   x = 1,790.66