Finding the Third Proportional to 409,505 and 619,986

Step by Step Solution

1. Step 1: Write the proportion equation
   409,505 : 619,986 = 619,986 : x
2. Step 2: Convert to fraction form
   409,505/619,986 = 619,986/x
3. Step 3: Cross multiply
   409,505x = 619,986 × 619,986
4. Step 4: Simplify right side
   409,505x = 384,382,640,196
5. Step 5: Solve for x
   x = 384,382,640,196/409,505
6. Step 6: Final answer
   x = 938,651.89