Finding the Third Proportional to 261,834 and 400,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,834 : 400,363.50 = 400,363.50 : x
2. Step 2: Convert to fraction form
   261,834/400,363.50 = 400,363.50/x
3. Step 3: Cross multiply
   261,834x = 400,363.50 × 400,363.50
4. Step 4: Simplify right side
   261,834x = 160,290,932,132.25
5. Step 5: Solve for x
   x = 160,290,932,132.25/261,834
6. Step 6: Final answer
   x = 612,185.32