Finding the Third Proportional to 96,783 and 208,398

Step by Step Solution

1. Step 1: Write the proportion equation
   96,783 : 208,398 = 208,398 : x
2. Step 2: Convert to fraction form
   96,783/208,398 = 208,398/x
3. Step 3: Cross multiply
   96,783x = 208,398 × 208,398
4. Step 4: Simplify right side
   96,783x = 43,429,726,404
5. Step 5: Solve for x
   x = 43,429,726,404/96,783
6. Step 6: Final answer
   x = 448,733.00