Finding the Third Proportional to 181,779 and 380,262

Step by Step Solution

1. Step 1: Write the proportion equation
   181,779 : 380,262 = 380,262 : x
2. Step 2: Convert to fraction form
   181,779/380,262 = 380,262/x
3. Step 3: Cross multiply
   181,779x = 380,262 × 380,262
4. Step 4: Simplify right side
   181,779x = 144,599,188,644
5. Step 5: Solve for x
   x = 144,599,188,644/181,779
6. Step 6: Final answer
   x = 795,466.96