Finding the Third Proportional to 173,878 and 381,004

Step by Step Solution

1. Step 1: Write the proportion equation
   173,878 : 381,004 = 381,004 : x
2. Step 2: Convert to fraction form
   173,878/381,004 = 381,004/x
3. Step 3: Cross multiply
   173,878x = 381,004 × 381,004
4. Step 4: Simplify right side
   173,878x = 145,164,048,016
5. Step 5: Solve for x
   x = 145,164,048,016/173,878
6. Step 6: Final answer
   x = 834,861.50