Finding the Third Proportional to 83,779 and 173,390

Step by Step Solution

1. Step 1: Write the proportion equation
   83,779 : 173,390 = 173,390 : x
2. Step 2: Convert to fraction form
   83,779/173,390 = 173,390/x
3. Step 3: Cross multiply
   83,779x = 173,390 × 173,390
4. Step 4: Simplify right side
   83,779x = 30,064,092,100
5. Step 5: Solve for x
   x = 30,064,092,100/83,779
6. Step 6: Final answer
   x = 358,849.98