Finding the Third Proportional to 195,632 and 406,570

Step by Step Solution

1. Step 1: Write the proportion equation
   195,632 : 406,570 = 406,570 : x
2. Step 2: Convert to fraction form
   195,632/406,570 = 406,570/x
3. Step 3: Cross multiply
   195,632x = 406,570 × 406,570
4. Step 4: Simplify right side
   195,632x = 165,299,164,900
5. Step 5: Solve for x
   x = 165,299,164,900/195,632
6. Step 6: Final answer
   x = 844,949.52