Finding the Third Proportional to 182,938 and 400,856

Step by Step Solution

1. Step 1: Write the proportion equation
   182,938 : 400,856 = 400,856 : x
2. Step 2: Convert to fraction form
   182,938/400,856 = 400,856/x
3. Step 3: Cross multiply
   182,938x = 400,856 × 400,856
4. Step 4: Simplify right side
   182,938x = 160,685,532,736
5. Step 5: Solve for x
   x = 160,685,532,736/182,938
6. Step 6: Final answer
   x = 878,360.61