Finding the Third Proportional to 261,293 and 381,856

Step by Step Solution

1. Step 1: Write the proportion equation
   261,293 : 381,856 = 381,856 : x
2. Step 2: Convert to fraction form
   261,293/381,856 = 381,856/x
3. Step 3: Cross multiply
   261,293x = 381,856 × 381,856
4. Step 4: Simplify right side
   261,293x = 145,814,004,736
5. Step 5: Solve for x
   x = 145,814,004,736/261,293
6. Step 6: Final answer
   x = 558,047.88