Finding the Third Proportional to 200,676 and 435,948

Step by Step Solution

1. Step 1: Write the proportion equation
   200,676 : 435,948 = 435,948 : x
2. Step 2: Convert to fraction form
   200,676/435,948 = 435,948/x
3. Step 3: Cross multiply
   200,676x = 435,948 × 435,948
4. Step 4: Simplify right side
   200,676x = 190,050,658,704
5. Step 5: Solve for x
   x = 190,050,658,704/200,676
6. Step 6: Final answer
   x = 947,052.26