Finding the Third Proportional to 186,936 and 400,116

Step by Step Solution

1. Step 1: Write the proportion equation
   186,936 : 400,116 = 400,116 : x
2. Step 2: Convert to fraction form
   186,936/400,116 = 400,116/x
3. Step 3: Cross multiply
   186,936x = 400,116 × 400,116
4. Step 4: Simplify right side
   186,936x = 160,092,813,456
5. Step 5: Solve for x
   x = 160,092,813,456/186,936
6. Step 6: Final answer
   x = 856,404.40