Finding the Third Proportional to 196,584 and 404,832

Step by Step Solution

1. Step 1: Write the proportion equation
   196,584 : 404,832 = 404,832 : x
2. Step 2: Convert to fraction form
   196,584/404,832 = 404,832/x
3. Step 3: Cross multiply
   196,584x = 404,832 × 404,832
4. Step 4: Simplify right side
   196,584x = 163,888,948,224
5. Step 5: Solve for x
   x = 163,888,948,224/196,584
6. Step 6: Final answer
   x = 833,684.06