Finding the Third Proportional to 193,563 and 404,864

Step by Step Solution

1. Step 1: Write the proportion equation
   193,563 : 404,864 = 404,864 : x
2. Step 2: Convert to fraction form
   193,563/404,864 = 404,864/x
3. Step 3: Cross multiply
   193,563x = 404,864 × 404,864
4. Step 4: Simplify right side
   193,563x = 163,914,858,496
5. Step 5: Solve for x
   x = 163,914,858,496/193,563
6. Step 6: Final answer
   x = 846,829.50