Finding the Third Proportional to 261,859.50 and 400,410

Step by Step Solution

1. Step 1: Write the proportion equation
   261,859.50 : 400,410 = 400,410 : x
2. Step 2: Convert to fraction form
   261,859.50/400,410 = 400,410/x
3. Step 3: Cross multiply
   261,859.50x = 400,410 × 400,410
4. Step 4: Simplify right side
   261,859.50x = 160,328,168,100
5. Step 5: Solve for x
   x = 160,328,168,100/261,859.50
6. Step 6: Final answer
   x = 612,267.91