Finding the Third Proportional to 173,779 and 380,774

Step by Step Solution

1. Step 1: Write the proportion equation
   173,779 : 380,774 = 380,774 : x
2. Step 2: Convert to fraction form
   173,779/380,774 = 380,774/x
3. Step 3: Cross multiply
   173,779x = 380,774 × 380,774
4. Step 4: Simplify right side
   173,779x = 144,988,839,076
5. Step 5: Solve for x
   x = 144,988,839,076/173,779
6. Step 6: Final answer
   x = 834,328.88