Finding the Third Proportional to 200,478 and 435,930

Step by Step Solution

1. Step 1: Write the proportion equation
   200,478 : 435,930 = 435,930 : x
2. Step 2: Convert to fraction form
   200,478/435,930 = 435,930/x
3. Step 3: Cross multiply
   200,478x = 435,930 × 435,930
4. Step 4: Simplify right side
   200,478x = 190,034,964,900
5. Step 5: Solve for x
   x = 190,034,964,900/200,478
6. Step 6: Final answer
   x = 947,909.32