Finding the Third Proportional to 200,637 and 416,826

Step by Step Solution

1. Step 1: Write the proportion equation
   200,637 : 416,826 = 416,826 : x
2. Step 2: Convert to fraction form
   200,637/416,826 = 416,826/x
3. Step 3: Cross multiply
   200,637x = 416,826 × 416,826
4. Step 4: Simplify right side
   200,637x = 173,743,914,276
5. Step 5: Solve for x
   x = 173,743,914,276/200,637
6. Step 6: Final answer
   x = 865,961.48