Finding the Third Proportional to 200,456 and 435,886

Step by Step Solution

1. Step 1: Write the proportion equation
   200,456 : 435,886 = 435,886 : x
2. Step 2: Convert to fraction form
   200,456/435,886 = 435,886/x
3. Step 3: Cross multiply
   200,456x = 435,886 × 435,886
4. Step 4: Simplify right side
   200,456x = 189,996,604,996
5. Step 5: Solve for x
   x = 189,996,604,996/200,456
6. Step 6: Final answer
   x = 947,821.99