Finding the Third Proportional to 200,648.25 and 417,904

Step by Step Solution

1. Step 1: Write the proportion equation
   200,648.25 : 417,904 = 417,904 : x
2. Step 2: Convert to fraction form
   200,648.25/417,904 = 417,904/x
3. Step 3: Cross multiply
   200,648.25x = 417,904 × 417,904
4. Step 4: Simplify right side
   200,648.25x = 174,643,753,216
5. Step 5: Solve for x
   x = 174,643,753,216/200,648.25
6. Step 6: Final answer
   x = 870,397.59