Finding the Third Proportional to 409,516 and 620,004

Step by Step Solution

1. Step 1: Write the proportion equation
   409,516 : 620,004 = 620,004 : x
2. Step 2: Convert to fraction form
   409,516/620,004 = 620,004/x
3. Step 3: Cross multiply
   409,516x = 620,004 × 620,004
4. Step 4: Simplify right side
   409,516x = 384,404,960,016
5. Step 5: Solve for x
   x = 384,404,960,016/409,516
6. Step 6: Final answer
   x = 938,681.17