Finding the Third Proportional to 173,878.50 and 381,006

Step by Step Solution

1. Step 1: Write the proportion equation
   173,878.50 : 381,006 = 381,006 : x
2. Step 2: Convert to fraction form
   173,878.50/381,006 = 381,006/x
3. Step 3: Cross multiply
   173,878.50x = 381,006 × 381,006
4. Step 4: Simplify right side
   173,878.50x = 145,165,572,036
5. Step 5: Solve for x
   x = 145,165,572,036/173,878.50
6. Step 6: Final answer
   x = 834,867.86