Finding the Third Proportional to 382.78 and 830.47

Step by Step Solution

1. Step 1: Write the proportion equation
   382.78 : 830.47 = 830.47 : x
2. Step 2: Convert to fraction form
   382.78/830.47 = 830.47/x
3. Step 3: Cross multiply
   382.78x = 830.47 × 830.47
4. Step 4: Simplify right side
   382.78x = 689,678.34
5. Step 5: Solve for x
   x = 689,678.34/382.78
6. Step 6: Final answer
   x = 1,801.76