Finding the Third Proportional to 406,972 and 825,020

Step by Step Solution

1. Step 1: Write the proportion equation
   406,972 : 825,020 = 825,020 : x
2. Step 2: Convert to fraction form
   406,972/825,020 = 825,020/x
3. Step 3: Cross multiply
   406,972x = 825,020 × 825,020
4. Step 4: Simplify right side
   406,972x = 680,658,000,400
5. Step 5: Solve for x
   x = 680,658,000,400/406,972
6. Step 6: Final answer
   x = 1,672,493.44