Finding the Third Proportional to 406,340 and 619,824

Step by Step Solution

1. Step 1: Write the proportion equation
   406,340 : 619,824 = 619,824 : x
2. Step 2: Convert to fraction form
   406,340/619,824 = 619,824/x
3. Step 3: Cross multiply
   406,340x = 619,824 × 619,824
4. Step 4: Simplify right side
   406,340x = 384,181,790,976
5. Step 5: Solve for x
   x = 384,181,790,976/406,340
6. Step 6: Final answer
   x = 945,468.80