Finding the Third Proportional to 200,256 and 434,748

Step by Step Solution

1. Step 1: Write the proportion equation
   200,256 : 434,748 = 434,748 : x
2. Step 2: Convert to fraction form
   200,256/434,748 = 434,748/x
3. Step 3: Cross multiply
   200,256x = 434,748 × 434,748
4. Step 4: Simplify right side
   200,256x = 189,005,823,504
5. Step 5: Solve for x
   x = 189,005,823,504/200,256
6. Step 6: Final answer
   x = 943,821.03