Finding the Third Proportional to 173,741 and 380,697

Step by Step Solution

1. Step 1: Write the proportion equation
   173,741 : 380,697 = 380,697 : x
2. Step 2: Convert to fraction form
   173,741/380,697 = 380,697/x
3. Step 3: Cross multiply
   173,741x = 380,697 × 380,697
4. Step 4: Simplify right side
   173,741x = 144,930,205,809
5. Step 5: Solve for x
   x = 144,930,205,809/173,741
6. Step 6: Final answer
   x = 834,173.89