Finding the Third Proportional to 261,826.50 and 400,356

Step by Step Solution

1. Step 1: Write the proportion equation
   261,826.50 : 400,356 = 400,356 : x
2. Step 2: Convert to fraction form
   261,826.50/400,356 = 400,356/x
3. Step 3: Cross multiply
   261,826.50x = 400,356 × 400,356
4. Step 4: Simplify right side
   261,826.50x = 160,284,926,736
5. Step 5: Solve for x
   x = 160,284,926,736/261,826.50
6. Step 6: Final answer
   x = 612,179.92