Finding the Third Proportional to 182,942 and 400,864

Step by Step Solution

1. Step 1: Write the proportion equation
   182,942 : 400,864 = 400,864 : x
2. Step 2: Convert to fraction form
   182,942/400,864 = 400,864/x
3. Step 3: Cross multiply
   182,942x = 400,864 × 400,864
4. Step 4: Simplify right side
   182,942x = 160,691,946,496
5. Step 5: Solve for x
   x = 160,691,946,496/182,942
6. Step 6: Final answer
   x = 878,376.46