Finding the Third Proportional to 208,384 and 447,832

Step by Step Solution

1. Step 1: Write the proportion equation
   208,384 : 447,832 = 447,832 : x
2. Step 2: Convert to fraction form
   208,384/447,832 = 447,832/x
3. Step 3: Cross multiply
   208,384x = 447,832 × 447,832
4. Step 4: Simplify right side
   208,384x = 200,553,500,224
5. Step 5: Solve for x
   x = 200,553,500,224/208,384
6. Step 6: Final answer
   x = 962,422.74