Finding the Third Proportional to 261,776.50 and 400,276

Step by Step Solution

1. Step 1: Write the proportion equation
   261,776.50 : 400,276 = 400,276 : x
2. Step 2: Convert to fraction form
   261,776.50/400,276 = 400,276/x
3. Step 3: Cross multiply
   261,776.50x = 400,276 × 400,276
4. Step 4: Simplify right side
   261,776.50x = 160,220,876,176
5. Step 5: Solve for x
   x = 160,220,876,176/261,776.50
6. Step 6: Final answer
   x = 612,052.17